4(-x+2)-2=3x-43

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Solution for 4(-x+2)-2=3x-43 equation: 


Simplifying
4(-1x + 2) + -2 = 3x + -43

Reorder the terms:
4(2 + -1x) + -2 = 3x + -43
(2 * 4 + -1x * 4) + -2 = 3x + -43
(8 + -4x) + -2 = 3x + -43

Reorder the terms:
8 + -2 + -4x = 3x + -43

Combine like terms: 8 + -2 = 6
6 + -4x = 3x + -43

Reorder the terms:
6 + -4x = -43 + 3x

Solving
6 + -4x = -43 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
6 + -4x + -3x = -43 + 3x + -3x

Combine like terms: -4x + -3x = -7x
6 + -7x = -43 + 3x + -3x

Combine like terms: 3x + -3x = 0
6 + -7x = -43 + 0
6 + -7x = -43

Add '-6' to each side of the equation.
6 + -6 + -7x = -43 + -6

Combine like terms: 6 + -6 = 0
0 + -7x = -43 + -6
-7x = -43 + -6

Combine like terms: -43 + -6 = -49
-7x = -49

Divide each side by '-7'.
x = 7

Simplifying
x = 7

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