5(2x-1)-3(6x+1)=8

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Solution for 5(2x-1)-3(6x+1)=8 equation:


Simplifying
5(2x + -1) + -3(6x + 1) = 8

Reorder the terms:
5(-1 + 2x) + -3(6x + 1) = 8
(-1 * 5 + 2x * 5) + -3(6x + 1) = 8
(-5 + 10x) + -3(6x + 1) = 8

Reorder the terms:
-5 + 10x + -3(1 + 6x) = 8
-5 + 10x + (1 * -3 + 6x * -3) = 8
-5 + 10x + (-3 + -18x) = 8

Reorder the terms:
-5 + -3 + 10x + -18x = 8

Combine like terms: -5 + -3 = -8
-8 + 10x + -18x = 8

Combine like terms: 10x + -18x = -8x
-8 + -8x = 8

Solving
-8 + -8x = 8

Solving for variable 'x'.

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

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

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

Combine like terms: 8 + 8 = 16
-8x = 16

Divide each side by '-8'.
x = -2

Simplifying
x = -2

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