5(x-2)-2(x+1)=(2+x)+3(1-x)

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Solution for 5(x-2)-2(x+1)=(2+x)+3(1-x) equation:

Simplifying
5(x + -2) + -2(x + 1) = (2 + x) + 3(1 + -1x)
Reorder the terms:
5(-2 + x) + -2(x + 1) = (2 + x) + 3(1 + -1x)
(-2 * 5 + x * 5) + -2(x + 1) = (2 + x) + 3(1 + -1x)
(-10 + 5x) + -2(x + 1) = (2 + x) + 3(1 + -1x)
Reorder the terms:
-10 + 5x + -2(1 + x) = (2 + x) + 3(1 + -1x)
-10 + 5x + (1 * -2 + x * -2) = (2 + x) + 3(1 + -1x)
-10 + 5x + (-2 + -2x) = (2 + x) + 3(1 + -1x)
Reorder the terms:
-10 + -2 + 5x + -2x = (2 + x) + 3(1 + -1x)
Combine like terms: -10 + -2 = -12
-12 + 5x + -2x = (2 + x) + 3(1 + -1x)
Combine like terms: 5x + -2x = 3x
-12 + 3x = (2 + x) + 3(1 + -1x)
Remove parenthesis around (2 + x)
-12 + 3x = 2 + x + 3(1 + -1x)
-12 + 3x = 2 + x + (1 * 3 + -1x * 3)
-12 + 3x = 2 + x + (3 + -3x)
Reorder the terms:
-12 + 3x = 2 + 3 + x + -3x
Combine like terms: 2 + 3 = 5
-12 + 3x = 5 + x + -3x
Combine like terms: x + -3x = -2x
-12 + 3x = 5 + -2x
Solving
-12 + 3x = 5 + -2x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '2x' to each side of the equation.
-12 + 3x + 2x = 5 + -2x + 2x
Combine like terms: 3x + 2x = 5x
-12 + 5x = 5 + -2x + 2x
Combine like terms: -2x + 2x = 0
-12 + 5x = 5 + 0
-12 + 5x = 5
Add '12' to each side of the equation.
-12 + 12 + 5x = 5 + 12
Combine like terms: -12 + 12 = 0
0 + 5x = 5 + 12
5x = 5 + 12
Combine like terms: 5 + 12 = 17
5x = 17
Divide each side by '5'.
x = 3.4
Simplifying
x = 3.4`