6(x+1)-2x=5(x+5)-15

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Solution for 6(x+1)-2x=5(x+5)-15 equation:


Simplifying
6(x + 1) + -2x = 5(x + 5) + -15

Reorder the terms:
6(1 + x) + -2x = 5(x + 5) + -15
(1 * 6 + x * 6) + -2x = 5(x + 5) + -15
(6 + 6x) + -2x = 5(x + 5) + -15

Combine like terms: 6x + -2x = 4x
6 + 4x = 5(x + 5) + -15

Reorder the terms:
6 + 4x = 5(5 + x) + -15
6 + 4x = (5 * 5 + x * 5) + -15
6 + 4x = (25 + 5x) + -15

Reorder the terms:
6 + 4x = 25 + -15 + 5x

Combine like terms: 25 + -15 = 10
6 + 4x = 10 + 5x

Solving
6 + 4x = 10 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
6 + 4x + -5x = 10 + 5x + -5x

Combine like terms: 4x + -5x = -1x
6 + -1x = 10 + 5x + -5x

Combine like terms: 5x + -5x = 0
6 + -1x = 10 + 0
6 + -1x = 10

Add '-6' to each side of the equation.
6 + -6 + -1x = 10 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 10 + -6
-1x = 10 + -6

Combine like terms: 10 + -6 = 4
-1x = 4

Divide each side by '-1'.
x = -4

Simplifying
x = -4

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