4(x-2)+12=-6(x+1)+14

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Solution for 4(x-2)+12=-6(x+1)+14 equation:


Simplifying
4(x + -2) + 12 = -6(x + 1) + 14

Reorder the terms:
4(-2 + x) + 12 = -6(x + 1) + 14
(-2 * 4 + x * 4) + 12 = -6(x + 1) + 14
(-8 + 4x) + 12 = -6(x + 1) + 14

Reorder the terms:
-8 + 12 + 4x = -6(x + 1) + 14

Combine like terms: -8 + 12 = 4
4 + 4x = -6(x + 1) + 14

Reorder the terms:
4 + 4x = -6(1 + x) + 14
4 + 4x = (1 * -6 + x * -6) + 14
4 + 4x = (-6 + -6x) + 14

Reorder the terms:
4 + 4x = -6 + 14 + -6x

Combine like terms: -6 + 14 = 8
4 + 4x = 8 + -6x

Solving
4 + 4x = 8 + -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.
4 + 4x + 6x = 8 + -6x + 6x

Combine like terms: 4x + 6x = 10x
4 + 10x = 8 + -6x + 6x

Combine like terms: -6x + 6x = 0
4 + 10x = 8 + 0
4 + 10x = 8

Add '-4' to each side of the equation.
4 + -4 + 10x = 8 + -4

Combine like terms: 4 + -4 = 0
0 + 10x = 8 + -4
10x = 8 + -4

Combine like terms: 8 + -4 = 4
10x = 4

Divide each side by '10'.
x = 0.4

Simplifying
x = 0.4

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