6(x-3)-8=-4(-4x+5)-2x

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Solution for 6(x-3)-8=-4(-4x+5)-2x equation:


Simplifying
6(x + -3) + -8 = -4(-4x + 5) + -2x

Reorder the terms:
6(-3 + x) + -8 = -4(-4x + 5) + -2x
(-3 * 6 + x * 6) + -8 = -4(-4x + 5) + -2x
(-18 + 6x) + -8 = -4(-4x + 5) + -2x

Reorder the terms:
-18 + -8 + 6x = -4(-4x + 5) + -2x

Combine like terms: -18 + -8 = -26
-26 + 6x = -4(-4x + 5) + -2x

Reorder the terms:
-26 + 6x = -4(5 + -4x) + -2x
-26 + 6x = (5 * -4 + -4x * -4) + -2x
-26 + 6x = (-20 + 16x) + -2x

Combine like terms: 16x + -2x = 14x
-26 + 6x = -20 + 14x

Solving
-26 + 6x = -20 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
-26 + 6x + -14x = -20 + 14x + -14x

Combine like terms: 6x + -14x = -8x
-26 + -8x = -20 + 14x + -14x

Combine like terms: 14x + -14x = 0
-26 + -8x = -20 + 0
-26 + -8x = -20

Add '26' to each side of the equation.
-26 + 26 + -8x = -20 + 26

Combine like terms: -26 + 26 = 0
0 + -8x = -20 + 26
-8x = -20 + 26

Combine like terms: -20 + 26 = 6
-8x = 6

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

Simplifying
x = -0.75

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