-5(x-4)=7x+2

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Solution for -5(x-4)=7x+2 equation:


Simplifying
-5(x + -4) = 7x + 2

Reorder the terms:
-5(-4 + x) = 7x + 2
(-4 * -5 + x * -5) = 7x + 2
(20 + -5x) = 7x + 2

Reorder the terms:
20 + -5x = 2 + 7x

Solving
20 + -5x = 2 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
20 + -5x + -7x = 2 + 7x + -7x

Combine like terms: -5x + -7x = -12x
20 + -12x = 2 + 7x + -7x

Combine like terms: 7x + -7x = 0
20 + -12x = 2 + 0
20 + -12x = 2

Add '-20' to each side of the equation.
20 + -20 + -12x = 2 + -20

Combine like terms: 20 + -20 = 0
0 + -12x = 2 + -20
-12x = 2 + -20

Combine like terms: 2 + -20 = -18
-12x = -18

Divide each side by '-12'.
x = 1.5

Simplifying
x = 1.5

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