4(x-8)+22=3x-4

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Solution for 4(x-8)+22=3x-4 equation:


Simplifying
4(x + -8) + 22 = 3x + -4

Reorder the terms:
4(-8 + x) + 22 = 3x + -4
(-8 * 4 + x * 4) + 22 = 3x + -4
(-32 + 4x) + 22 = 3x + -4

Reorder the terms:
-32 + 22 + 4x = 3x + -4

Combine like terms: -32 + 22 = -10
-10 + 4x = 3x + -4

Reorder the terms:
-10 + 4x = -4 + 3x

Solving
-10 + 4x = -4 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-10 + 4x + -3x = -4 + 3x + -3x

Combine like terms: 4x + -3x = 1x
-10 + 1x = -4 + 3x + -3x

Combine like terms: 3x + -3x = 0
-10 + 1x = -4 + 0
-10 + 1x = -4

Add '10' to each side of the equation.
-10 + 10 + 1x = -4 + 10

Combine like terms: -10 + 10 = 0
0 + 1x = -4 + 10
1x = -4 + 10

Combine like terms: -4 + 10 = 6
1x = 6

Divide each side by '1'.
x = 6

Simplifying
x = 6

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