8x+2(5x-6)=4(6x+4)-4

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Solution for 8x+2(5x-6)=4(6x+4)-4 equation:


Simplifying
8x + 2(5x + -6) = 4(6x + 4) + -4

Reorder the terms:
8x + 2(-6 + 5x) = 4(6x + 4) + -4
8x + (-6 * 2 + 5x * 2) = 4(6x + 4) + -4
8x + (-12 + 10x) = 4(6x + 4) + -4

Reorder the terms:
-12 + 8x + 10x = 4(6x + 4) + -4

Combine like terms: 8x + 10x = 18x
-12 + 18x = 4(6x + 4) + -4

Reorder the terms:
-12 + 18x = 4(4 + 6x) + -4
-12 + 18x = (4 * 4 + 6x * 4) + -4
-12 + 18x = (16 + 24x) + -4

Reorder the terms:
-12 + 18x = 16 + -4 + 24x

Combine like terms: 16 + -4 = 12
-12 + 18x = 12 + 24x

Solving
-12 + 18x = 12 + 24x

Solving for variable 'x'.

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

Add '-24x' to each side of the equation.
-12 + 18x + -24x = 12 + 24x + -24x

Combine like terms: 18x + -24x = -6x
-12 + -6x = 12 + 24x + -24x

Combine like terms: 24x + -24x = 0
-12 + -6x = 12 + 0
-12 + -6x = 12

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

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

Combine like terms: 12 + 12 = 24
-6x = 24

Divide each side by '-6'.
x = -4

Simplifying
x = -4

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