4(x+7)-2x=12(3-2)-4x

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Solution for 4(x+7)-2x=12(3-2)-4x equation:


Simplifying
4(x + 7) + -2x = 12(3 + -2) + -4x

Reorder the terms:
4(7 + x) + -2x = 12(3 + -2) + -4x
(7 * 4 + x * 4) + -2x = 12(3 + -2) + -4x
(28 + 4x) + -2x = 12(3 + -2) + -4x

Combine like terms: 4x + -2x = 2x
28 + 2x = 12(3 + -2) + -4x

Combine like terms: 3 + -2 = 1
28 + 2x = 12(1) + -4x

Multiply 12 * 1
28 + 2x = 12 + -4x

Solving
28 + 2x = 12 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
28 + 2x + 4x = 12 + -4x + 4x

Combine like terms: 2x + 4x = 6x
28 + 6x = 12 + -4x + 4x

Combine like terms: -4x + 4x = 0
28 + 6x = 12 + 0
28 + 6x = 12

Add '-28' to each side of the equation.
28 + -28 + 6x = 12 + -28

Combine like terms: 28 + -28 = 0
0 + 6x = 12 + -28
6x = 12 + -28

Combine like terms: 12 + -28 = -16
6x = -16

Divide each side by '6'.
x = -2.666666667

Simplifying
x = -2.666666667

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