-3(3x-1)+4(2-1x)=7-15x

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Solution for -3(3x-1)+4(2-1x)=7-15x equation: 


Simplifying
-3(3x + -1) + 4(2 + -1x) = 7 + -15x

Reorder the terms:
-3(-1 + 3x) + 4(2 + -1x) = 7 + -15x
(-1 * -3 + 3x * -3) + 4(2 + -1x) = 7 + -15x
(3 + -9x) + 4(2 + -1x) = 7 + -15x
3 + -9x + (2 * 4 + -1x * 4) = 7 + -15x
3 + -9x + (8 + -4x) = 7 + -15x

Reorder the terms:
3 + 8 + -9x + -4x = 7 + -15x

Combine like terms: 3 + 8 = 11
11 + -9x + -4x = 7 + -15x

Combine like terms: -9x + -4x = -13x
11 + -13x = 7 + -15x

Solving
11 + -13x = 7 + -15x

Solving for variable 'x'.

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

Add '15x' to each side of the equation.
11 + -13x + 15x = 7 + -15x + 15x

Combine like terms: -13x + 15x = 2x
11 + 2x = 7 + -15x + 15x

Combine like terms: -15x + 15x = 0
11 + 2x = 7 + 0
11 + 2x = 7

Add '-11' to each side of the equation.
11 + -11 + 2x = 7 + -11

Combine like terms: 11 + -11 = 0
0 + 2x = 7 + -11
2x = 7 + -11

Combine like terms: 7 + -11 = -4
2x = -4

Divide each side by '2'.
x = -2

Simplifying
x = -2

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