-3(x-5)+2(4x-8)=12

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Solution for -3(x-5)+2(4x-8)=12 equation:


Simplifying
-3(x + -5) + 2(4x + -8) = 12

Reorder the terms:
-3(-5 + x) + 2(4x + -8) = 12
(-5 * -3 + x * -3) + 2(4x + -8) = 12
(15 + -3x) + 2(4x + -8) = 12

Reorder the terms:
15 + -3x + 2(-8 + 4x) = 12
15 + -3x + (-8 * 2 + 4x * 2) = 12
15 + -3x + (-16 + 8x) = 12

Reorder the terms:
15 + -16 + -3x + 8x = 12

Combine like terms: 15 + -16 = -1
-1 + -3x + 8x = 12

Combine like terms: -3x + 8x = 5x
-1 + 5x = 12

Solving
-1 + 5x = 12

Solving for variable 'x'.

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

Add '1' to each side of the equation.
-1 + 1 + 5x = 12 + 1

Combine like terms: -1 + 1 = 0
0 + 5x = 12 + 1
5x = 12 + 1

Combine like terms: 12 + 1 = 13
5x = 13

Divide each side by '5'.
x = 2.6

Simplifying
x = 2.6

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