4x+2=9x-13

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Solution for 4x+2=9x-13 equation:


Simplifying
4x + 2 = 9x + -13
Reorder the terms:
2 + 4x = 9x + -13
Reorder the terms:
2 + 4x = -13 + 9x
Solving
2 + 4x = -13 + 9x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-9x' to each side of the equation.
2 + 4x + -9x = -13 + 9x + -9x
Combine like terms: 4x + -9x = -5x
2 + -5x = -13 + 9x + -9x
Combine like terms: 9x + -9x = 0
2 + -5x = -13 + 0
2 + -5x = -13
Add '-2' to each side of the equation.
2 + -2 + -5x = -13 + -2
Combine like terms: 2 + -2 = 0
0 + -5x = -13 + -2
-5x = -13 + -2
Combine like terms: -13 + -2 = -15
-5x = -15
Divide each side by '-5'.
x = 3
Simplifying
x = 3

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