5(4x-4)=7x+6

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Solution for 5(4x-4)=7x+6 equation:


Simplifying
5(4x + -4) = 7x + 6

Reorder the terms:
5(-4 + 4x) = 7x + 6
(-4 * 5 + 4x * 5) = 7x + 6
(-20 + 20x) = 7x + 6

Reorder the terms:
-20 + 20x = 6 + 7x

Solving
-20 + 20x = 6 + 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 + 20x + -7x = 6 + 7x + -7x

Combine like terms: 20x + -7x = 13x
-20 + 13x = 6 + 7x + -7x

Combine like terms: 7x + -7x = 0
-20 + 13x = 6 + 0
-20 + 13x = 6

Add '20' to each side of the equation.
-20 + 20 + 13x = 6 + 20

Combine like terms: -20 + 20 = 0
0 + 13x = 6 + 20
13x = 6 + 20

Combine like terms: 6 + 20 = 26
13x = 26

Divide each side by '13'.
x = 2

Simplifying
x = 2

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