5(2x+4)-3(x-2)=4(1-5x)

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Solution for 5(2x+4)-3(x-2)=4(1-5x) equation:


Simplifying
5(2x + 4) + -3(x + -2) = 4(1 + -5x)

Reorder the terms:
5(4 + 2x) + -3(x + -2) = 4(1 + -5x)
(4 * 5 + 2x * 5) + -3(x + -2) = 4(1 + -5x)
(20 + 10x) + -3(x + -2) = 4(1 + -5x)

Reorder the terms:
20 + 10x + -3(-2 + x) = 4(1 + -5x)
20 + 10x + (-2 * -3 + x * -3) = 4(1 + -5x)
20 + 10x + (6 + -3x) = 4(1 + -5x)

Reorder the terms:
20 + 6 + 10x + -3x = 4(1 + -5x)

Combine like terms: 20 + 6 = 26
26 + 10x + -3x = 4(1 + -5x)

Combine like terms: 10x + -3x = 7x
26 + 7x = 4(1 + -5x)
26 + 7x = (1 * 4 + -5x * 4)
26 + 7x = (4 + -20x)

Solving
26 + 7x = 4 + -20x

Solving for variable 'x'.

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

Add '20x' to each side of the equation.
26 + 7x + 20x = 4 + -20x + 20x

Combine like terms: 7x + 20x = 27x
26 + 27x = 4 + -20x + 20x

Combine like terms: -20x + 20x = 0
26 + 27x = 4 + 0
26 + 27x = 4

Add '-26' to each side of the equation.
26 + -26 + 27x = 4 + -26

Combine like terms: 26 + -26 = 0
0 + 27x = 4 + -26
27x = 4 + -26

Combine like terms: 4 + -26 = -22
27x = -22

Divide each side by '27'.
x = -0.8148148148

Simplifying
x = -0.8148148148

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