2x-6(4x+8)-6=2(5x+12)-4

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Solution for 2x-6(4x+8)-6=2(5x+12)-4 equation:


Simplifying
2x + -6(4x + 8) + -6 = 2(5x + 12) + -4

Reorder the terms:
2x + -6(8 + 4x) + -6 = 2(5x + 12) + -4
2x + (8 * -6 + 4x * -6) + -6 = 2(5x + 12) + -4
2x + (-48 + -24x) + -6 = 2(5x + 12) + -4

Reorder the terms:
-48 + -6 + 2x + -24x = 2(5x + 12) + -4

Combine like terms: -48 + -6 = -54
-54 + 2x + -24x = 2(5x + 12) + -4

Combine like terms: 2x + -24x = -22x
-54 + -22x = 2(5x + 12) + -4

Reorder the terms:
-54 + -22x = 2(12 + 5x) + -4
-54 + -22x = (12 * 2 + 5x * 2) + -4
-54 + -22x = (24 + 10x) + -4

Reorder the terms:
-54 + -22x = 24 + -4 + 10x

Combine like terms: 24 + -4 = 20
-54 + -22x = 20 + 10x

Solving
-54 + -22x = 20 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-54 + -22x + -10x = 20 + 10x + -10x

Combine like terms: -22x + -10x = -32x
-54 + -32x = 20 + 10x + -10x

Combine like terms: 10x + -10x = 0
-54 + -32x = 20 + 0
-54 + -32x = 20

Add '54' to each side of the equation.
-54 + 54 + -32x = 20 + 54

Combine like terms: -54 + 54 = 0
0 + -32x = 20 + 54
-32x = 20 + 54

Combine like terms: 20 + 54 = 74
-32x = 74

Divide each side by '-32'.
x = -2.3125

Simplifying
x = -2.3125

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