3x-7(2x-13)=3(-2x+9)+4

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Solution for 3x-7(2x-13)=3(-2x+9)+4 equation:


Simplifying
3x + -7(2x + -13) = 3(-2x + 9) + 4

Reorder the terms:
3x + -7(-13 + 2x) = 3(-2x + 9) + 4
3x + (-13 * -7 + 2x * -7) = 3(-2x + 9) + 4
3x + (91 + -14x) = 3(-2x + 9) + 4

Reorder the terms:
91 + 3x + -14x = 3(-2x + 9) + 4

Combine like terms: 3x + -14x = -11x
91 + -11x = 3(-2x + 9) + 4

Reorder the terms:
91 + -11x = 3(9 + -2x) + 4
91 + -11x = (9 * 3 + -2x * 3) + 4
91 + -11x = (27 + -6x) + 4

Reorder the terms:
91 + -11x = 27 + 4 + -6x

Combine like terms: 27 + 4 = 31
91 + -11x = 31 + -6x

Solving
91 + -11x = 31 + -6x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '6x' to each side of the equation.
91 + -11x + 6x = 31 + -6x + 6x

Combine like terms: -11x + 6x = -5x
91 + -5x = 31 + -6x + 6x

Combine like terms: -6x + 6x = 0
91 + -5x = 31 + 0
91 + -5x = 31

Add '-91' to each side of the equation.
91 + -91 + -5x = 31 + -91

Combine like terms: 91 + -91 = 0
0 + -5x = 31 + -91
-5x = 31 + -91

Combine like terms: 31 + -91 = -60
-5x = -60

Divide each side by '-5'.
x = 12

Simplifying
x = 12

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