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

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


Simplifying
2(3 + -1x) + 4x = 5(x + 2)
(3 * 2 + -1x * 2) + 4x = 5(x + 2)
(6 + -2x) + 4x = 5(x + 2)

Combine like terms: -2x + 4x = 2x
6 + 2x = 5(x + 2)

Reorder the terms:
6 + 2x = 5(2 + x)
6 + 2x = (2 * 5 + x * 5)
6 + 2x = (10 + 5x)

Solving
6 + 2x = 10 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
6 + 2x + -5x = 10 + 5x + -5x

Combine like terms: 2x + -5x = -3x
6 + -3x = 10 + 5x + -5x

Combine like terms: 5x + -5x = 0
6 + -3x = 10 + 0
6 + -3x = 10

Add '-6' to each side of the equation.
6 + -6 + -3x = 10 + -6

Combine like terms: 6 + -6 = 0
0 + -3x = 10 + -6
-3x = 10 + -6

Combine like terms: 10 + -6 = 4
-3x = 4

Divide each side by '-3'.
x = -1.333333333

Simplifying
x = -1.333333333

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