3x-(4-8x)=4(5+7x)

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Solution for 3x-(4-8x)=4(5+7x) equation:


Simplifying
3x + -1(4 + -8x) = 4(5 + 7x)
3x + (4 * -1 + -8x * -1) = 4(5 + 7x)
3x + (-4 + 8x) = 4(5 + 7x)

Reorder the terms:
-4 + 3x + 8x = 4(5 + 7x)

Combine like terms: 3x + 8x = 11x
-4 + 11x = 4(5 + 7x)
-4 + 11x = (5 * 4 + 7x * 4)
-4 + 11x = (20 + 28x)

Solving
-4 + 11x = 20 + 28x

Solving for variable 'x'.

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

Add '-28x' to each side of the equation.
-4 + 11x + -28x = 20 + 28x + -28x

Combine like terms: 11x + -28x = -17x
-4 + -17x = 20 + 28x + -28x

Combine like terms: 28x + -28x = 0
-4 + -17x = 20 + 0
-4 + -17x = 20

Add '4' to each side of the equation.
-4 + 4 + -17x = 20 + 4

Combine like terms: -4 + 4 = 0
0 + -17x = 20 + 4
-17x = 20 + 4

Combine like terms: 20 + 4 = 24
-17x = 24

Divide each side by '-17'.
x = -1.411764706

Simplifying
x = -1.411764706

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