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

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Solution for 6(x-8)+22=4(x-5) equation:


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

Reorder the terms:
6(-8 + x) + 22 = 4(x + -5)
(-8 * 6 + x * 6) + 22 = 4(x + -5)
(-48 + 6x) + 22 = 4(x + -5)

Reorder the terms:
-48 + 22 + 6x = 4(x + -5)

Combine like terms: -48 + 22 = -26
-26 + 6x = 4(x + -5)

Reorder the terms:
-26 + 6x = 4(-5 + x)
-26 + 6x = (-5 * 4 + x * 4)
-26 + 6x = (-20 + 4x)

Solving
-26 + 6x = -20 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-26 + 6x + -4x = -20 + 4x + -4x

Combine like terms: 6x + -4x = 2x
-26 + 2x = -20 + 4x + -4x

Combine like terms: 4x + -4x = 0
-26 + 2x = -20 + 0
-26 + 2x = -20

Add '26' to each side of the equation.
-26 + 26 + 2x = -20 + 26

Combine like terms: -26 + 26 = 0
0 + 2x = -20 + 26
2x = -20 + 26

Combine like terms: -20 + 26 = 6
2x = 6

Divide each side by '2'.
x = 3

Simplifying
x = 3

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