8(x-4)=5x-22

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Solution for 8(x-4)=5x-22 equation:


Simplifying
8(x + -4) = 5x + -22

Reorder the terms:
8(-4 + x) = 5x + -22
(-4 * 8 + x * 8) = 5x + -22
(-32 + 8x) = 5x + -22

Reorder the terms:
-32 + 8x = -22 + 5x

Solving
-32 + 8x = -22 + 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.
-32 + 8x + -5x = -22 + 5x + -5x

Combine like terms: 8x + -5x = 3x
-32 + 3x = -22 + 5x + -5x

Combine like terms: 5x + -5x = 0
-32 + 3x = -22 + 0
-32 + 3x = -22

Add '32' to each side of the equation.
-32 + 32 + 3x = -22 + 32

Combine like terms: -32 + 32 = 0
0 + 3x = -22 + 32
3x = -22 + 32

Combine like terms: -22 + 32 = 10
3x = 10

Divide each side by '3'.
x = 3.333333333

Simplifying
x = 3.333333333

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