-2(-3x+7)-6=150+4(-8x+5)

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Solution for -2(-3x+7)-6=150+4(-8x+5) equation:


Simplifying
-2(-3x + 7) + -6 = 150 + 4(-8x + 5)

Reorder the terms:
-2(7 + -3x) + -6 = 150 + 4(-8x + 5)
(7 * -2 + -3x * -2) + -6 = 150 + 4(-8x + 5)
(-14 + 6x) + -6 = 150 + 4(-8x + 5)

Reorder the terms:
-14 + -6 + 6x = 150 + 4(-8x + 5)

Combine like terms: -14 + -6 = -20
-20 + 6x = 150 + 4(-8x + 5)

Reorder the terms:
-20 + 6x = 150 + 4(5 + -8x)
-20 + 6x = 150 + (5 * 4 + -8x * 4)
-20 + 6x = 150 + (20 + -32x)

Combine like terms: 150 + 20 = 170
-20 + 6x = 170 + -32x

Solving
-20 + 6x = 170 + -32x

Solving for variable 'x'.

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

Add '32x' to each side of the equation.
-20 + 6x + 32x = 170 + -32x + 32x

Combine like terms: 6x + 32x = 38x
-20 + 38x = 170 + -32x + 32x

Combine like terms: -32x + 32x = 0
-20 + 38x = 170 + 0
-20 + 38x = 170

Add '20' to each side of the equation.
-20 + 20 + 38x = 170 + 20

Combine like terms: -20 + 20 = 0
0 + 38x = 170 + 20
38x = 170 + 20

Combine like terms: 170 + 20 = 190
38x = 190

Divide each side by '38'.
x = 5

Simplifying
x = 5

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