4(x-8)=5x-38

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Solution for 4(x-8)=5x-38 equation:


Simplifying
4(x + -8) = 5x + -38

Reorder the terms:
4(-8 + x) = 5x + -38
(-8 * 4 + x * 4) = 5x + -38
(-32 + 4x) = 5x + -38

Reorder the terms:
-32 + 4x = -38 + 5x

Solving
-32 + 4x = -38 + 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 + 4x + -5x = -38 + 5x + -5x

Combine like terms: 4x + -5x = -1x
-32 + -1x = -38 + 5x + -5x

Combine like terms: 5x + -5x = 0
-32 + -1x = -38 + 0
-32 + -1x = -38

Add '32' to each side of the equation.
-32 + 32 + -1x = -38 + 32

Combine like terms: -32 + 32 = 0
0 + -1x = -38 + 32
-1x = -38 + 32

Combine like terms: -38 + 32 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6

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