2[8-(-7x-4)]=42x+40

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Solution for 2[8-(-7x-4)]=42x+40 equation:


Simplifying
2[8 + -1(-7x + -4)] = 42x + 40

Reorder the terms:
2[8 + -1(-4 + -7x)] = 42x + 40
2[8 + (-4 * -1 + -7x * -1)] = 42x + 40
2[8 + (4 + 7x)] = 42x + 40

Combine like terms: 8 + 4 = 12
2[12 + 7x] = 42x + 40
[12 * 2 + 7x * 2] = 42x + 40
[24 + 14x] = 42x + 40

Reorder the terms:
24 + 14x = 40 + 42x

Solving
24 + 14x = 40 + 42x

Solving for variable 'x'.

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

Add '-42x' to each side of the equation.
24 + 14x + -42x = 40 + 42x + -42x

Combine like terms: 14x + -42x = -28x
24 + -28x = 40 + 42x + -42x

Combine like terms: 42x + -42x = 0
24 + -28x = 40 + 0
24 + -28x = 40

Add '-24' to each side of the equation.
24 + -24 + -28x = 40 + -24

Combine like terms: 24 + -24 = 0
0 + -28x = 40 + -24
-28x = 40 + -24

Combine like terms: 40 + -24 = 16
-28x = 16

Divide each side by '-28'.
x = -0.5714285714

Simplifying
x = -0.5714285714

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