4(x-5)+4x=-2(3x+4)

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Solution for 4(x-5)+4x=-2(3x+4) equation:


Simplifying
4(x + -5) + 4x = -2(3x + 4)

Reorder the terms:
4(-5 + x) + 4x = -2(3x + 4)
(-5 * 4 + x * 4) + 4x = -2(3x + 4)
(-20 + 4x) + 4x = -2(3x + 4)

Combine like terms: 4x + 4x = 8x
-20 + 8x = -2(3x + 4)

Reorder the terms:
-20 + 8x = -2(4 + 3x)
-20 + 8x = (4 * -2 + 3x * -2)
-20 + 8x = (-8 + -6x)

Solving
-20 + 8x = -8 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-20 + 8x + 6x = -8 + -6x + 6x

Combine like terms: 8x + 6x = 14x
-20 + 14x = -8 + -6x + 6x

Combine like terms: -6x + 6x = 0
-20 + 14x = -8 + 0
-20 + 14x = -8

Add '20' to each side of the equation.
-20 + 20 + 14x = -8 + 20

Combine like terms: -20 + 20 = 0
0 + 14x = -8 + 20
14x = -8 + 20

Combine like terms: -8 + 20 = 12
14x = 12

Divide each side by '14'.
x = 0.8571428571

Simplifying
x = 0.8571428571

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