5x-8=4(x-9)

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Solution for 5x-8=4(x-9) equation:


Simplifying
5x + -8 = 4(x + -9)

Reorder the terms:
-8 + 5x = 4(x + -9)

Reorder the terms:
-8 + 5x = 4(-9 + x)
-8 + 5x = (-9 * 4 + x * 4)
-8 + 5x = (-36 + 4x)

Solving
-8 + 5x = -36 + 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.
-8 + 5x + -4x = -36 + 4x + -4x

Combine like terms: 5x + -4x = 1x
-8 + 1x = -36 + 4x + -4x

Combine like terms: 4x + -4x = 0
-8 + 1x = -36 + 0
-8 + 1x = -36

Add '8' to each side of the equation.
-8 + 8 + 1x = -36 + 8

Combine like terms: -8 + 8 = 0
0 + 1x = -36 + 8
1x = -36 + 8

Combine like terms: -36 + 8 = -28
1x = -28

Divide each side by '1'.
x = -28

Simplifying
x = -28

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