6x+15=2x-3

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Solution for 6x+15=2x-3 equation:


Simplifying
6x + 15 = 2x + -3

Reorder the terms:
15 + 6x = 2x + -3

Reorder the terms:
15 + 6x = -3 + 2x

Solving
15 + 6x = -3 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
15 + 6x + -2x = -3 + 2x + -2x

Combine like terms: 6x + -2x = 4x
15 + 4x = -3 + 2x + -2x

Combine like terms: 2x + -2x = 0
15 + 4x = -3 + 0
15 + 4x = -3

Add '-15' to each side of the equation.
15 + -15 + 4x = -3 + -15

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

Combine like terms: -3 + -15 = -18
4x = -18

Divide each side by '4'.
x = -4.5

Simplifying
x = -4.5

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