4(3-2x)+5x=6-(-x+2)

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Solution for 4(3-2x)+5x=6-(-x+2) equation:


Simplifying
4(3 + -2x) + 5x = 6 + -1(-1x + 2)
(3 * 4 + -2x * 4) + 5x = 6 + -1(-1x + 2)
(12 + -8x) + 5x = 6 + -1(-1x + 2)

Combine like terms: -8x + 5x = -3x
12 + -3x = 6 + -1(-1x + 2)

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

Combine like terms: 6 + -2 = 4
12 + -3x = 4 + 1x

Solving
12 + -3x = 4 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
12 + -3x + -1x = 4 + 1x + -1x

Combine like terms: -3x + -1x = -4x
12 + -4x = 4 + 1x + -1x

Combine like terms: 1x + -1x = 0
12 + -4x = 4 + 0
12 + -4x = 4

Add '-12' to each side of the equation.
12 + -12 + -4x = 4 + -12

Combine like terms: 12 + -12 = 0
0 + -4x = 4 + -12
-4x = 4 + -12

Combine like terms: 4 + -12 = -8
-4x = -8

Divide each side by '-4'.
x = 2

Simplifying
x = 2

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