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

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


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

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

Reorder the terms:
12 + -3x = 2 + 5x

Solving
12 + -3x = 2 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
12 + -3x + -5x = 2 + 5x + -5x

Combine like terms: -3x + -5x = -8x
12 + -8x = 2 + 5x + -5x

Combine like terms: 5x + -5x = 0
12 + -8x = 2 + 0
12 + -8x = 2

Add '-12' to each side of the equation.
12 + -12 + -8x = 2 + -12

Combine like terms: 12 + -12 = 0
0 + -8x = 2 + -12
-8x = 2 + -12

Combine like terms: 2 + -12 = -10
-8x = -10

Divide each side by '-8'.
x = 1.25

Simplifying
x = 1.25

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