40(2x-1)=8(x-4)-36

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Solution for 40(2x-1)=8(x-4)-36 equation: 


Simplifying
40(2x + -1) = 8(x + -4) + -36

Reorder the terms:
40(-1 + 2x) = 8(x + -4) + -36
(-1 * 40 + 2x * 40) = 8(x + -4) + -36
(-40 + 80x) = 8(x + -4) + -36

Reorder the terms:
-40 + 80x = 8(-4 + x) + -36
-40 + 80x = (-4 * 8 + x * 8) + -36
-40 + 80x = (-32 + 8x) + -36

Reorder the terms:
-40 + 80x = -32 + -36 + 8x

Combine like terms: -32 + -36 = -68
-40 + 80x = -68 + 8x

Solving
-40 + 80x = -68 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-40 + 80x + -8x = -68 + 8x + -8x

Combine like terms: 80x + -8x = 72x
-40 + 72x = -68 + 8x + -8x

Combine like terms: 8x + -8x = 0
-40 + 72x = -68 + 0
-40 + 72x = -68

Add '40' to each side of the equation.
-40 + 40 + 72x = -68 + 40

Combine like terms: -40 + 40 = 0
0 + 72x = -68 + 40
72x = -68 + 40

Combine like terms: -68 + 40 = -28
72x = -28

Divide each side by '72'.
x = -0.3888888889

Simplifying
x = -0.3888888889

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