6(x+1)-5-2x=5(x-3)

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Solution for 6(x+1)-5-2x=5(x-3) equation: 


Simplifying
6(x + 1) + -5 + -2x = 5(x + -3)

Reorder the terms:
6(1 + x) + -5 + -2x = 5(x + -3)
(1 * 6 + x * 6) + -5 + -2x = 5(x + -3)
(6 + 6x) + -5 + -2x = 5(x + -3)

Reorder the terms:
6 + -5 + 6x + -2x = 5(x + -3)

Combine like terms: 6 + -5 = 1
1 + 6x + -2x = 5(x + -3)

Combine like terms: 6x + -2x = 4x
1 + 4x = 5(x + -3)

Reorder the terms:
1 + 4x = 5(-3 + x)
1 + 4x = (-3 * 5 + x * 5)
1 + 4x = (-15 + 5x)

Solving
1 + 4x = -15 + 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.
1 + 4x + -5x = -15 + 5x + -5x

Combine like terms: 4x + -5x = -1x
1 + -1x = -15 + 5x + -5x

Combine like terms: 5x + -5x = 0
1 + -1x = -15 + 0
1 + -1x = -15

Add '-1' to each side of the equation.
1 + -1 + -1x = -15 + -1

Combine like terms: 1 + -1 = 0
0 + -1x = -15 + -1
-1x = -15 + -1

Combine like terms: -15 + -1 = -16
-1x = -16

Divide each side by '-1'.
x = 16

Simplifying
x = 16

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