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

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Solution for 5(x-7)+15=3(x-6) equation:


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

Reorder the terms:
5(-7 + x) + 15 = 3(x + -6)
(-7 * 5 + x * 5) + 15 = 3(x + -6)
(-35 + 5x) + 15 = 3(x + -6)

Reorder the terms:
-35 + 15 + 5x = 3(x + -6)

Combine like terms: -35 + 15 = -20
-20 + 5x = 3(x + -6)

Reorder the terms:
-20 + 5x = 3(-6 + x)
-20 + 5x = (-6 * 3 + x * 3)
-20 + 5x = (-18 + 3x)

Solving
-20 + 5x = -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.
-20 + 5x + -3x = -18 + 3x + -3x

Combine like terms: 5x + -3x = 2x
-20 + 2x = -18 + 3x + -3x

Combine like terms: 3x + -3x = 0
-20 + 2x = -18 + 0
-20 + 2x = -18

Add '20' to each side of the equation.
-20 + 20 + 2x = -18 + 20

Combine like terms: -20 + 20 = 0
0 + 2x = -18 + 20
2x = -18 + 20

Combine like terms: -18 + 20 = 2
2x = 2

Divide each side by '2'.
x = 1

Simplifying
x = 1

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