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

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


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

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

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

Combine like terms: 6 + -4 = 2
2 + 3x = 2(5 + -1x)
2 + 3x = (5 * 2 + -1x * 2)
2 + 3x = (10 + -2x)

Solving
2 + 3x = 10 + -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 + 3x + 2x = 10 + -2x + 2x

Combine like terms: 3x + 2x = 5x
2 + 5x = 10 + -2x + 2x

Combine like terms: -2x + 2x = 0
2 + 5x = 10 + 0
2 + 5x = 10

Add '-2' to each side of the equation.
2 + -2 + 5x = 10 + -2

Combine like terms: 2 + -2 = 0
0 + 5x = 10 + -2
5x = 10 + -2

Combine like terms: 10 + -2 = 8
5x = 8

Divide each side by '5'.
x = 1.6

Simplifying
x = 1.6

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