6(x-7)+15=3(x-6)

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Solution for 6(x-7)+15=3(x-6) equation:


Simplifying
6(x + -7) + 15 = 3(x + -6)

Reorder the terms:
6(-7 + x) + 15 = 3(x + -6)
(-7 * 6 + x * 6) + 15 = 3(x + -6)
(-42 + 6x) + 15 = 3(x + -6)

Reorder the terms:
-42 + 15 + 6x = 3(x + -6)

Combine like terms: -42 + 15 = -27
-27 + 6x = 3(x + -6)

Reorder the terms:
-27 + 6x = 3(-6 + x)
-27 + 6x = (-6 * 3 + x * 3)
-27 + 6x = (-18 + 3x)

Solving
-27 + 6x = -18 + 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.
-27 + 6x + -3x = -18 + 3x + -3x

Combine like terms: 6x + -3x = 3x
-27 + 3x = -18 + 3x + -3x

Combine like terms: 3x + -3x = 0
-27 + 3x = -18 + 0
-27 + 3x = -18

Add '27' to each side of the equation.
-27 + 27 + 3x = -18 + 27

Combine like terms: -27 + 27 = 0
0 + 3x = -18 + 27
3x = -18 + 27

Combine like terms: -18 + 27 = 9
3x = 9

Divide each side by '3'.
x = 3

Simplifying
x = 3

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