7(x-4)=3x-20

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Solution for 7(x-4)=3x-20 equation: 


Simplifying
7(x + -4) = 3x + -20

Reorder the terms:
7(-4 + x) = 3x + -20
(-4 * 7 + x * 7) = 3x + -20
(-28 + 7x) = 3x + -20

Reorder the terms:
-28 + 7x = -20 + 3x

Solving
-28 + 7x = -20 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-28 + 7x + -3x = -20 + 3x + -3x

Combine like terms: 7x + -3x = 4x
-28 + 4x = -20 + 3x + -3x

Combine like terms: 3x + -3x = 0
-28 + 4x = -20 + 0
-28 + 4x = -20

Add '28' to each side of the equation.
-28 + 28 + 4x = -20 + 28

Combine like terms: -28 + 28 = 0
0 + 4x = -20 + 28
4x = -20 + 28

Combine like terms: -20 + 28 = 8
4x = 8

Divide each side by '4'.
x = 2

Simplifying
x = 2

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