5(x-4)=3x+7

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Solution for 5(x-4)=3x+7 equation:


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

Reorder the terms:
5(-4 + x) = 3x + 7
(-4 * 5 + x * 5) = 3x + 7
(-20 + 5x) = 3x + 7

Reorder the terms:
-20 + 5x = 7 + 3x

Solving
-20 + 5x = 7 + 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.
-20 + 5x + -3x = 7 + 3x + -3x

Combine like terms: 5x + -3x = 2x
-20 + 2x = 7 + 3x + -3x

Combine like terms: 3x + -3x = 0
-20 + 2x = 7 + 0
-20 + 2x = 7

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

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

Combine like terms: 7 + 20 = 27
2x = 27

Divide each side by '2'.
x = 13.5

Simplifying
x = 13.5

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