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

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


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

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

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

Combine like terms: 6 + -4 = 2
2 + 2x = 3(5 + -1x)
2 + 2x = (5 * 3 + -1x * 3)
2 + 2x = (15 + -3x)

Solving
2 + 2x = 15 + -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.
2 + 2x + 3x = 15 + -3x + 3x

Combine like terms: 2x + 3x = 5x
2 + 5x = 15 + -3x + 3x

Combine like terms: -3x + 3x = 0
2 + 5x = 15 + 0
2 + 5x = 15

Add '-2' to each side of the equation.
2 + -2 + 5x = 15 + -2

Combine like terms: 2 + -2 = 0
0 + 5x = 15 + -2
5x = 15 + -2

Combine like terms: 15 + -2 = 13
5x = 13

Divide each side by '5'.
x = 2.6

Simplifying
x = 2.6

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