4(x-2)+2x=-5+(3x-7)

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Solution for 4(x-2)+2x=-5+(3x-7) equation:


Simplifying
4(x + -2) + 2x = -5 + (3x + -7)

Reorder the terms:
4(-2 + x) + 2x = -5 + (3x + -7)
(-2 * 4 + x * 4) + 2x = -5 + (3x + -7)
(-8 + 4x) + 2x = -5 + (3x + -7)

Combine like terms: 4x + 2x = 6x
-8 + 6x = -5 + (3x + -7)

Reorder the terms:
-8 + 6x = -5 + (-7 + 3x)

Remove parenthesis around (-7 + 3x)
-8 + 6x = -5 + -7 + 3x

Combine like terms: -5 + -7 = -12
-8 + 6x = -12 + 3x

Solving
-8 + 6x = -12 + 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.
-8 + 6x + -3x = -12 + 3x + -3x

Combine like terms: 6x + -3x = 3x
-8 + 3x = -12 + 3x + -3x

Combine like terms: 3x + -3x = 0
-8 + 3x = -12 + 0
-8 + 3x = -12

Add '8' to each side of the equation.
-8 + 8 + 3x = -12 + 8

Combine like terms: -8 + 8 = 0
0 + 3x = -12 + 8
3x = -12 + 8

Combine like terms: -12 + 8 = -4
3x = -4

Divide each side by '3'.
x = -1.333333333

Simplifying
x = -1.333333333

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