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

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


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

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

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

Combine like terms: -40 + 22 = -18
-18 + 16x = 6(x + 5) + 2

Reorder the terms:
-18 + 16x = 6(5 + x) + 2
-18 + 16x = (5 * 6 + x * 6) + 2
-18 + 16x = (30 + 6x) + 2

Reorder the terms:
-18 + 16x = 30 + 2 + 6x

Combine like terms: 30 + 2 = 32
-18 + 16x = 32 + 6x

Solving
-18 + 16x = 32 + 6x

Solving for variable 'x'.

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

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

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

Combine like terms: 6x + -6x = 0
-18 + 10x = 32 + 0
-18 + 10x = 32

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

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

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

Divide each side by '10'.
x = 5

Simplifying
x = 5

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