5(x-8)=4(8+x)-68

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Solution for 5(x-8)=4(8+x)-68 equation:


Simplifying
5(x + -8) = 4(8 + x) + -68

Reorder the terms:
5(-8 + x) = 4(8 + x) + -68
(-8 * 5 + x * 5) = 4(8 + x) + -68
(-40 + 5x) = 4(8 + x) + -68
-40 + 5x = (8 * 4 + x * 4) + -68
-40 + 5x = (32 + 4x) + -68

Reorder the terms:
-40 + 5x = 32 + -68 + 4x

Combine like terms: 32 + -68 = -36
-40 + 5x = -36 + 4x

Solving
-40 + 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.
-40 + 5x + -4x = -36 + 4x + -4x

Combine like terms: 5x + -4x = 1x
-40 + 1x = -36 + 4x + -4x

Combine like terms: 4x + -4x = 0
-40 + 1x = -36 + 0
-40 + 1x = -36

Add '40' to each side of the equation.
-40 + 40 + 1x = -36 + 40

Combine like terms: -40 + 40 = 0
0 + 1x = -36 + 40
1x = -36 + 40

Combine like terms: -36 + 40 = 4
1x = 4

Divide each side by '1'.
x = 4

Simplifying
x = 4

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