8x-4(x+2)=12(x+1)-14

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Solution for 8x-4(x+2)=12(x+1)-14 equation:


Simplifying
8x + -4(x + 2) = 12(x + 1) + -14

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

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

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

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

Reorder the terms:
-8 + 4x = 12 + -14 + 12x

Combine like terms: 12 + -14 = -2
-8 + 4x = -2 + 12x

Solving
-8 + 4x = -2 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-8 + 4x + -12x = -2 + 12x + -12x

Combine like terms: 4x + -12x = -8x
-8 + -8x = -2 + 12x + -12x

Combine like terms: 12x + -12x = 0
-8 + -8x = -2 + 0
-8 + -8x = -2

Add '8' to each side of the equation.
-8 + 8 + -8x = -2 + 8

Combine like terms: -8 + 8 = 0
0 + -8x = -2 + 8
-8x = -2 + 8

Combine like terms: -2 + 8 = 6
-8x = 6

Divide each side by '-8'.
x = -0.75

Simplifying
x = -0.75

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