-5(x-3)+x=6x-15

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Solution for -5(x-3)+x=6x-15 equation:


Simplifying
-5(x + -3) + x = 6x + -15

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

Combine like terms: -5x + x = -4x
15 + -4x = 6x + -15

Reorder the terms:
15 + -4x = -15 + 6x

Solving
15 + -4x = -15 + 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.
15 + -4x + -6x = -15 + 6x + -6x

Combine like terms: -4x + -6x = -10x
15 + -10x = -15 + 6x + -6x

Combine like terms: 6x + -6x = 0
15 + -10x = -15 + 0
15 + -10x = -15

Add '-15' to each side of the equation.
15 + -15 + -10x = -15 + -15

Combine like terms: 15 + -15 = 0
0 + -10x = -15 + -15
-10x = -15 + -15

Combine like terms: -15 + -15 = -30
-10x = -30

Divide each side by '-10'.
x = 3

Simplifying
x = 3

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