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

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Solution for -(5-x)+15=2(4x+1)-3x equation:


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

Reorder the terms:
-5 + 15 + 1x = 2(4x + 1) + -3x

Combine like terms: -5 + 15 = 10
10 + 1x = 2(4x + 1) + -3x

Reorder the terms:
10 + 1x = 2(1 + 4x) + -3x
10 + 1x = (1 * 2 + 4x * 2) + -3x
10 + 1x = (2 + 8x) + -3x

Combine like terms: 8x + -3x = 5x
10 + 1x = 2 + 5x

Solving
10 + 1x = 2 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
10 + 1x + -5x = 2 + 5x + -5x

Combine like terms: 1x + -5x = -4x
10 + -4x = 2 + 5x + -5x

Combine like terms: 5x + -5x = 0
10 + -4x = 2 + 0
10 + -4x = 2

Add '-10' to each side of the equation.
10 + -10 + -4x = 2 + -10

Combine like terms: 10 + -10 = 0
0 + -4x = 2 + -10
-4x = 2 + -10

Combine like terms: 2 + -10 = -8
-4x = -8

Divide each side by '-4'.
x = 2

Simplifying
x = 2

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