5x-2(x-5)=8x+4(3x+2)

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Solution for 5x-2(x-5)=8x+4(3x+2) equation:


Simplifying
5x + -2(x + -5) = 8x + 4(3x + 2)

Reorder the terms:
5x + -2(-5 + x) = 8x + 4(3x + 2)
5x + (-5 * -2 + x * -2) = 8x + 4(3x + 2)
5x + (10 + -2x) = 8x + 4(3x + 2)

Reorder the terms:
10 + 5x + -2x = 8x + 4(3x + 2)

Combine like terms: 5x + -2x = 3x
10 + 3x = 8x + 4(3x + 2)

Reorder the terms:
10 + 3x = 8x + 4(2 + 3x)
10 + 3x = 8x + (2 * 4 + 3x * 4)
10 + 3x = 8x + (8 + 12x)

Reorder the terms:
10 + 3x = 8 + 8x + 12x

Combine like terms: 8x + 12x = 20x
10 + 3x = 8 + 20x

Solving
10 + 3x = 8 + 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.
10 + 3x + -20x = 8 + 20x + -20x

Combine like terms: 3x + -20x = -17x
10 + -17x = 8 + 20x + -20x

Combine like terms: 20x + -20x = 0
10 + -17x = 8 + 0
10 + -17x = 8

Add '-10' to each side of the equation.
10 + -10 + -17x = 8 + -10

Combine like terms: 10 + -10 = 0
0 + -17x = 8 + -10
-17x = 8 + -10

Combine like terms: 8 + -10 = -2
-17x = -2

Divide each side by '-17'.
x = 0.1176470588

Simplifying
x = 0.1176470588

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