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

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


Simplifying
5 + -1(3 + -1x) = 2(x + -4) + 15
5 + (3 * -1 + -1x * -1) = 2(x + -4) + 15
5 + (-3 + 1x) = 2(x + -4) + 15

Combine like terms: 5 + -3 = 2
2 + 1x = 2(x + -4) + 15

Reorder the terms:
2 + 1x = 2(-4 + x) + 15
2 + 1x = (-4 * 2 + x * 2) + 15
2 + 1x = (-8 + 2x) + 15

Reorder the terms:
2 + 1x = -8 + 15 + 2x

Combine like terms: -8 + 15 = 7
2 + 1x = 7 + 2x

Solving
2 + 1x = 7 + 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.
2 + 1x + -2x = 7 + 2x + -2x

Combine like terms: 1x + -2x = -1x
2 + -1x = 7 + 2x + -2x

Combine like terms: 2x + -2x = 0
2 + -1x = 7 + 0
2 + -1x = 7

Add '-2' to each side of the equation.
2 + -2 + -1x = 7 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 7 + -2
-1x = 7 + -2

Combine like terms: 7 + -2 = 5
-1x = 5

Divide each side by '-1'.
x = -5

Simplifying
x = -5

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