6(x+5)+2=8(2x-5)+22

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Solution for 6(x+5)+2=8(2x-5)+22 equation:


Simplifying
6(x + 5) + 2 = 8(2x + -5) + 22

Reorder the terms:
6(5 + x) + 2 = 8(2x + -5) + 22
(5 * 6 + x * 6) + 2 = 8(2x + -5) + 22
(30 + 6x) + 2 = 8(2x + -5) + 22

Reorder the terms:
30 + 2 + 6x = 8(2x + -5) + 22

Combine like terms: 30 + 2 = 32
32 + 6x = 8(2x + -5) + 22

Reorder the terms:
32 + 6x = 8(-5 + 2x) + 22
32 + 6x = (-5 * 8 + 2x * 8) + 22
32 + 6x = (-40 + 16x) + 22

Reorder the terms:
32 + 6x = -40 + 22 + 16x

Combine like terms: -40 + 22 = -18
32 + 6x = -18 + 16x

Solving
32 + 6x = -18 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
32 + 6x + -16x = -18 + 16x + -16x

Combine like terms: 6x + -16x = -10x
32 + -10x = -18 + 16x + -16x

Combine like terms: 16x + -16x = 0
32 + -10x = -18 + 0
32 + -10x = -18

Add '-32' to each side of the equation.
32 + -32 + -10x = -18 + -32

Combine like terms: 32 + -32 = 0
0 + -10x = -18 + -32
-10x = -18 + -32

Combine like terms: -18 + -32 = -50
-10x = -50

Divide each side by '-10'.
x = 5

Simplifying
x = 5

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