3(x-3)-7=-2(-6x+1)-x

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Solution for 3(x-3)-7=-2(-6x+1)-x equation:


Simplifying
3(x + -3) + -7 = -2(-6x + 1) + -1x

Reorder the terms:
3(-3 + x) + -7 = -2(-6x + 1) + -1x
(-3 * 3 + x * 3) + -7 = -2(-6x + 1) + -1x
(-9 + 3x) + -7 = -2(-6x + 1) + -1x

Reorder the terms:
-9 + -7 + 3x = -2(-6x + 1) + -1x

Combine like terms: -9 + -7 = -16
-16 + 3x = -2(-6x + 1) + -1x

Reorder the terms:
-16 + 3x = -2(1 + -6x) + -1x
-16 + 3x = (1 * -2 + -6x * -2) + -1x
-16 + 3x = (-2 + 12x) + -1x

Combine like terms: 12x + -1x = 11x
-16 + 3x = -2 + 11x

Solving
-16 + 3x = -2 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
-16 + 3x + -11x = -2 + 11x + -11x

Combine like terms: 3x + -11x = -8x
-16 + -8x = -2 + 11x + -11x

Combine like terms: 11x + -11x = 0
-16 + -8x = -2 + 0
-16 + -8x = -2

Add '16' to each side of the equation.
-16 + 16 + -8x = -2 + 16

Combine like terms: -16 + 16 = 0
0 + -8x = -2 + 16
-8x = -2 + 16

Combine like terms: -2 + 16 = 14
-8x = 14

Divide each side by '-8'.
x = -1.75

Simplifying
x = -1.75

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