6(x-3)-10=32x-158

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Solution for 6(x-3)-10=32x-158 equation:


Simplifying
6(x + -3) + -10 = 32x + -158

Reorder the terms:
6(-3 + x) + -10 = 32x + -158
(-3 * 6 + x * 6) + -10 = 32x + -158
(-18 + 6x) + -10 = 32x + -158

Reorder the terms:
-18 + -10 + 6x = 32x + -158

Combine like terms: -18 + -10 = -28
-28 + 6x = 32x + -158

Reorder the terms:
-28 + 6x = -158 + 32x

Solving
-28 + 6x = -158 + 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.
-28 + 6x + -32x = -158 + 32x + -32x

Combine like terms: 6x + -32x = -26x
-28 + -26x = -158 + 32x + -32x

Combine like terms: 32x + -32x = 0
-28 + -26x = -158 + 0
-28 + -26x = -158

Add '28' to each side of the equation.
-28 + 28 + -26x = -158 + 28

Combine like terms: -28 + 28 = 0
0 + -26x = -158 + 28
-26x = -158 + 28

Combine like terms: -158 + 28 = -130
-26x = -130

Divide each side by '-26'.
x = 5

Simplifying
x = 5

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