6(x-5)-15=2x-9

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Solution for 6(x-5)-15=2x-9 equation:


Simplifying
6(x + -5) + -15 = 2x + -9

Reorder the terms:
6(-5 + x) + -15 = 2x + -9
(-5 * 6 + x * 6) + -15 = 2x + -9
(-30 + 6x) + -15 = 2x + -9

Reorder the terms:
-30 + -15 + 6x = 2x + -9

Combine like terms: -30 + -15 = -45
-45 + 6x = 2x + -9

Reorder the terms:
-45 + 6x = -9 + 2x

Solving
-45 + 6x = -9 + 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.
-45 + 6x + -2x = -9 + 2x + -2x

Combine like terms: 6x + -2x = 4x
-45 + 4x = -9 + 2x + -2x

Combine like terms: 2x + -2x = 0
-45 + 4x = -9 + 0
-45 + 4x = -9

Add '45' to each side of the equation.
-45 + 45 + 4x = -9 + 45

Combine like terms: -45 + 45 = 0
0 + 4x = -9 + 45
4x = -9 + 45

Combine like terms: -9 + 45 = 36
4x = 36

Divide each side by '4'.
x = 9

Simplifying
x = 9

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