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

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


Simplifying
2(5x + 2) = 3(8 + -1(x + -3))

Reorder the terms:
2(2 + 5x) = 3(8 + -1(x + -3))
(2 * 2 + 5x * 2) = 3(8 + -1(x + -3))
(4 + 10x) = 3(8 + -1(x + -3))

Reorder the terms:
4 + 10x = 3(8 + -1(-3 + x))
4 + 10x = 3(8 + (-3 * -1 + x * -1))
4 + 10x = 3(8 + (3 + -1x))

Combine like terms: 8 + 3 = 11
4 + 10x = 3(11 + -1x)
4 + 10x = (11 * 3 + -1x * 3)
4 + 10x = (33 + -3x)

Solving
4 + 10x = 33 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
4 + 10x + 3x = 33 + -3x + 3x

Combine like terms: 10x + 3x = 13x
4 + 13x = 33 + -3x + 3x

Combine like terms: -3x + 3x = 0
4 + 13x = 33 + 0
4 + 13x = 33

Add '-4' to each side of the equation.
4 + -4 + 13x = 33 + -4

Combine like terms: 4 + -4 = 0
0 + 13x = 33 + -4
13x = 33 + -4

Combine like terms: 33 + -4 = 29
13x = 29

Divide each side by '13'.
x = 2.230769231

Simplifying
x = 2.230769231

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