8(x+6)-(2x-5)=5x

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Solution for 8(x+6)-(2x-5)=5x equation:


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

Reorder the terms:
8(6 + x) + -1(2x + -5) = 5x
(6 * 8 + x * 8) + -1(2x + -5) = 5x
(48 + 8x) + -1(2x + -5) = 5x

Reorder the terms:
48 + 8x + -1(-5 + 2x) = 5x
48 + 8x + (-5 * -1 + 2x * -1) = 5x
48 + 8x + (5 + -2x) = 5x

Reorder the terms:
48 + 5 + 8x + -2x = 5x

Combine like terms: 48 + 5 = 53
53 + 8x + -2x = 5x

Combine like terms: 8x + -2x = 6x
53 + 6x = 5x

Solving
53 + 6x = 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.
53 + 6x + -5x = 5x + -5x

Combine like terms: 6x + -5x = 1x
53 + 1x = 5x + -5x

Combine like terms: 5x + -5x = 0
53 + 1x = 0

Add '-53' to each side of the equation.
53 + -53 + 1x = 0 + -53

Combine like terms: 53 + -53 = 0
0 + 1x = 0 + -53
1x = 0 + -53

Combine like terms: 0 + -53 = -53
1x = -53

Divide each side by '1'.
x = -53

Simplifying
x = -53

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