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

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


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

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

Reorder the terms:
10 + 2x = 2(1 + 3x)
10 + 2x = (1 * 2 + 3x * 2)
10 + 2x = (2 + 6x)

Solving
10 + 2x = 2 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
10 + 2x + -6x = 2 + 6x + -6x

Combine like terms: 2x + -6x = -4x
10 + -4x = 2 + 6x + -6x

Combine like terms: 6x + -6x = 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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