2(3+5x)-4=(2x-3)+20

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Solution for 2(3+5x)-4=(2x-3)+20 equation:


Simplifying
2(3 + 5x) + -4 = (2x + -3) + 20
(3 * 2 + 5x * 2) + -4 = (2x + -3) + 20
(6 + 10x) + -4 = (2x + -3) + 20

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

Combine like terms: 6 + -4 = 2
2 + 10x = (2x + -3) + 20

Reorder the terms:
2 + 10x = (-3 + 2x) + 20

Remove parenthesis around (-3 + 2x)
2 + 10x = -3 + 2x + 20

Reorder the terms:
2 + 10x = -3 + 20 + 2x

Combine like terms: -3 + 20 = 17
2 + 10x = 17 + 2x

Solving
2 + 10x = 17 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
2 + 10x + -2x = 17 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
2 + 8x = 17 + 0
2 + 8x = 17

Add '-2' to each side of the equation.
2 + -2 + 8x = 17 + -2

Combine like terms: 2 + -2 = 0
0 + 8x = 17 + -2
8x = 17 + -2

Combine like terms: 17 + -2 = 15
8x = 15

Divide each side by '8'.
x = 1.875

Simplifying
x = 1.875

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