15=2x+5(x-4)

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


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

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

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

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

Solving
15 = -20 + 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.
15 + -7x = -20 + 7x + -7x

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

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

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

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

Divide each side by '-7'.
x = 5

Simplifying
x = 5

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