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

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


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

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

Combine like terms: 1 + 3 = 4
4x + 5(4 + -6x) = 2(2x + 5)
4x + (4 * 5 + -6x * 5) = 2(2x + 5)
4x + (20 + -30x) = 2(2x + 5)

Reorder the terms:
20 + 4x + -30x = 2(2x + 5)

Combine like terms: 4x + -30x = -26x
20 + -26x = 2(2x + 5)

Reorder the terms:
20 + -26x = 2(5 + 2x)
20 + -26x = (5 * 2 + 2x * 2)
20 + -26x = (10 + 4x)

Solving
20 + -26x = 10 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
20 + -26x + -4x = 10 + 4x + -4x

Combine like terms: -26x + -4x = -30x
20 + -30x = 10 + 4x + -4x

Combine like terms: 4x + -4x = 0
20 + -30x = 10 + 0
20 + -30x = 10

Add '-20' to each side of the equation.
20 + -20 + -30x = 10 + -20

Combine like terms: 20 + -20 = 0
0 + -30x = 10 + -20
-30x = 10 + -20

Combine like terms: 10 + -20 = -10
-30x = -10

Divide each side by '-30'.
x = 0.3333333333

Simplifying
x = 0.3333333333

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