5(x-4)=-2x+15

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Solution for 5(x-4)=-2x+15 equation:


Simplifying
5(x + -4) = -2x + 15

Reorder the terms:
5(-4 + x) = -2x + 15
(-4 * 5 + x * 5) = -2x + 15
(-20 + 5x) = -2x + 15

Reorder the terms:
-20 + 5x = 15 + -2x

Solving
-20 + 5x = 15 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-20 + 5x + 2x = 15 + -2x + 2x

Combine like terms: 5x + 2x = 7x
-20 + 7x = 15 + -2x + 2x

Combine like terms: -2x + 2x = 0
-20 + 7x = 15 + 0
-20 + 7x = 15

Add '20' to each side of the equation.
-20 + 20 + 7x = 15 + 20

Combine like terms: -20 + 20 = 0
0 + 7x = 15 + 20
7x = 15 + 20

Combine like terms: 15 + 20 = 35
7x = 35

Divide each side by '7'.
x = 5

Simplifying
x = 5

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