15+(2x-3)=10x-(3x-2)

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Solution for 15+(2x-3)=10x-(3x-2) equation:


Simplifying
15 + (2x + -3) = 10x + -1(3x + -2)

Reorder the terms:
15 + (-3 + 2x) = 10x + -1(3x + -2)

Remove parenthesis around (-3 + 2x)
15 + -3 + 2x = 10x + -1(3x + -2)

Combine like terms: 15 + -3 = 12
12 + 2x = 10x + -1(3x + -2)

Reorder the terms:
12 + 2x = 10x + -1(-2 + 3x)
12 + 2x = 10x + (-2 * -1 + 3x * -1)
12 + 2x = 10x + (2 + -3x)

Reorder the terms:
12 + 2x = 2 + 10x + -3x

Combine like terms: 10x + -3x = 7x
12 + 2x = 2 + 7x

Solving
12 + 2x = 2 + 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.
12 + 2x + -7x = 2 + 7x + -7x

Combine like terms: 2x + -7x = -5x
12 + -5x = 2 + 7x + -7x

Combine like terms: 7x + -7x = 0
12 + -5x = 2 + 0
12 + -5x = 2

Add '-12' to each side of the equation.
12 + -12 + -5x = 2 + -12

Combine like terms: 12 + -12 = 0
0 + -5x = 2 + -12
-5x = 2 + -12

Combine like terms: 2 + -12 = -10
-5x = -10

Divide each side by '-5'.
x = 2

Simplifying
x = 2

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