5(2x-1)=6(2x+5)

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Solution for 5(2x-1)=6(2x+5) equation:


Simplifying
5(2x + -1) = 6(2x + 5)
Reorder the terms:
5(-1 + 2x) = 6(2x + 5)
(-1 * 5 + 2x * 5) = 6(2x + 5)
(-5 + 10x) = 6(2x + 5)
Reorder the terms:
-5 + 10x = 6(5 + 2x)
-5 + 10x = (5 * 6 + 2x * 6)
-5 + 10x = (30 + 12x)
Solving
-5 + 10x = 30 + 12x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-12x' to each side of the equation.
-5 + 10x + -12x = 30 + 12x + -12x
Combine like terms: 10x + -12x = -2x
-5 + -2x = 30 + 12x + -12x
Combine like terms: 12x + -12x = 0
-5 + -2x = 30 + 0
-5 + -2x = 30
Add '5' to each side of the equation.
-5 + 5 + -2x = 30 + 5
Combine like terms: -5 + 5 = 0
0 + -2x = 30 + 5
-2x = 30 + 5
Combine like terms: 30 + 5 = 35
-2x = 35
Divide each side by '-2'.
x = -17.5
Simplifying
x = -17.5

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