15-3x=2(x-4)+5

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Solution for 15-3x=2(x-4)+5 equation:


Simplifying
15 + -3x = 2(x + -4) + 5

Reorder the terms:
15 + -3x = 2(-4 + x) + 5
15 + -3x = (-4 * 2 + x * 2) + 5
15 + -3x = (-8 + 2x) + 5

Reorder the terms:
15 + -3x = -8 + 5 + 2x

Combine like terms: -8 + 5 = -3
15 + -3x = -3 + 2x

Solving
15 + -3x = -3 + 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.
15 + -3x + -2x = -3 + 2x + -2x

Combine like terms: -3x + -2x = -5x
15 + -5x = -3 + 2x + -2x

Combine like terms: 2x + -2x = 0
15 + -5x = -3 + 0
15 + -5x = -3

Add '-15' to each side of the equation.
15 + -15 + -5x = -3 + -15

Combine like terms: 15 + -15 = 0
0 + -5x = -3 + -15
-5x = -3 + -15

Combine like terms: -3 + -15 = -18
-5x = -18

Divide each side by '-5'.
x = 3.6

Simplifying
x = 3.6

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