40-4(2x+1)=6x-4(6+x)

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Solution for 40-4(2x+1)=6x-4(6+x) equation: 


Simplifying
40 + -4(2x + 1) = 6x + -4(6 + x)

Reorder the terms:
40 + -4(1 + 2x) = 6x + -4(6 + x)
40 + (1 * -4 + 2x * -4) = 6x + -4(6 + x)
40 + (-4 + -8x) = 6x + -4(6 + x)

Combine like terms: 40 + -4 = 36
36 + -8x = 6x + -4(6 + x)
36 + -8x = 6x + (6 * -4 + x * -4)
36 + -8x = 6x + (-24 + -4x)

Reorder the terms:
36 + -8x = -24 + 6x + -4x

Combine like terms: 6x + -4x = 2x
36 + -8x = -24 + 2x

Solving
36 + -8x = -24 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
36 + -8x + -2x = -24 + 2x + -2x

Combine like terms: -8x + -2x = -10x
36 + -10x = -24 + 2x + -2x

Combine like terms: 2x + -2x = 0
36 + -10x = -24 + 0
36 + -10x = -24

Add '-36' to each side of the equation.
36 + -36 + -10x = -24 + -36

Combine like terms: 36 + -36 = 0
0 + -10x = -24 + -36
-10x = -24 + -36

Combine like terms: -24 + -36 = -60
-10x = -60

Divide each side by '-10'.
x = 6

Simplifying
x = 6

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