4(x-8)+22=2(x-4)

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Solution for 4(x-8)+22=2(x-4) equation:


Simplifying
4(x + -8) + 22 = 2(x + -4)

Reorder the terms:
4(-8 + x) + 22 = 2(x + -4)
(-8 * 4 + x * 4) + 22 = 2(x + -4)
(-32 + 4x) + 22 = 2(x + -4)

Reorder the terms:
-32 + 22 + 4x = 2(x + -4)

Combine like terms: -32 + 22 = -10
-10 + 4x = 2(x + -4)

Reorder the terms:
-10 + 4x = 2(-4 + x)
-10 + 4x = (-4 * 2 + x * 2)
-10 + 4x = (-8 + 2x)

Solving
-10 + 4x = -8 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-10 + 4x + -2x = -8 + 2x + -2x

Combine like terms: 4x + -2x = 2x
-10 + 2x = -8 + 2x + -2x

Combine like terms: 2x + -2x = 0
-10 + 2x = -8 + 0
-10 + 2x = -8

Add '10' to each side of the equation.
-10 + 10 + 2x = -8 + 10

Combine like terms: -10 + 10 = 0
0 + 2x = -8 + 10
2x = -8 + 10

Combine like terms: -8 + 10 = 2
2x = 2

Divide each side by '2'.
x = 1

Simplifying
x = 1

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