-3(x-5)+2x=6-3(2-x)

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Solution for -3(x-5)+2x=6-3(2-x) equation:


Simplifying
-3(x + -5) + 2x = 6 + -3(2 + -1x)

Reorder the terms:
-3(-5 + x) + 2x = 6 + -3(2 + -1x)
(-5 * -3 + x * -3) + 2x = 6 + -3(2 + -1x)
(15 + -3x) + 2x = 6 + -3(2 + -1x)

Combine like terms: -3x + 2x = -1x
15 + -1x = 6 + -3(2 + -1x)
15 + -1x = 6 + (2 * -3 + -1x * -3)
15 + -1x = 6 + (-6 + 3x)

Combine like terms: 6 + -6 = 0
15 + -1x = 0 + 3x
15 + -1x = 3x

Solving
15 + -1x = 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
15 + -1x + -3x = 3x + -3x

Combine like terms: -1x + -3x = -4x
15 + -4x = 3x + -3x

Combine like terms: 3x + -3x = 0
15 + -4x = 0

Add '-15' to each side of the equation.
15 + -15 + -4x = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -4x = 0 + -15
-4x = 0 + -15

Combine like terms: 0 + -15 = -15
-4x = -15

Divide each side by '-4'.
x = 3.75

Simplifying
x = 3.75

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