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

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


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

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

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

Combine like terms: 4 + 5 = 9
9 + 2x = 4 + -3(2x + -3)

Reorder the terms:
9 + 2x = 4 + -3(-3 + 2x)
9 + 2x = 4 + (-3 * -3 + 2x * -3)
9 + 2x = 4 + (9 + -6x)

Combine like terms: 4 + 9 = 13
9 + 2x = 13 + -6x

Solving
9 + 2x = 13 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
9 + 2x + 6x = 13 + -6x + 6x

Combine like terms: 2x + 6x = 8x
9 + 8x = 13 + -6x + 6x

Combine like terms: -6x + 6x = 0
9 + 8x = 13 + 0
9 + 8x = 13

Add '-9' to each side of the equation.
9 + -9 + 8x = 13 + -9

Combine like terms: 9 + -9 = 0
0 + 8x = 13 + -9
8x = 13 + -9

Combine like terms: 13 + -9 = 4
8x = 4

Divide each side by '8'.
x = 0.5

Simplifying
x = 0.5

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