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

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


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

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

Combine like terms: -7x + -4x = -11x
-7 + -11x + 2x = 2(-3x + 1)

Combine like terms: -11x + 2x = -9x
-7 + -9x = 2(-3x + 1)

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

Solving
-7 + -9x = 2 + -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.
-7 + -9x + 6x = 2 + -6x + 6x

Combine like terms: -9x + 6x = -3x
-7 + -3x = 2 + -6x + 6x

Combine like terms: -6x + 6x = 0
-7 + -3x = 2 + 0
-7 + -3x = 2

Add '7' to each side of the equation.
-7 + 7 + -3x = 2 + 7

Combine like terms: -7 + 7 = 0
0 + -3x = 2 + 7
-3x = 2 + 7

Combine like terms: 2 + 7 = 9
-3x = 9

Divide each side by '-3'.
x = -3

Simplifying
x = -3

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