3(x+2)-10=4-2(x-5)

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Solution for 3(x+2)-10=4-2(x-5) equation: 


Simplifying
3(x + 2) + -10 = 4 + -2(x + -5)

Reorder the terms:
3(2 + x) + -10 = 4 + -2(x + -5)
(2 * 3 + x * 3) + -10 = 4 + -2(x + -5)
(6 + 3x) + -10 = 4 + -2(x + -5)

Reorder the terms:
6 + -10 + 3x = 4 + -2(x + -5)

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

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

Combine like terms: 4 + 10 = 14
-4 + 3x = 14 + -2x

Solving
-4 + 3x = 14 + -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.
-4 + 3x + 2x = 14 + -2x + 2x

Combine like terms: 3x + 2x = 5x
-4 + 5x = 14 + -2x + 2x

Combine like terms: -2x + 2x = 0
-4 + 5x = 14 + 0
-4 + 5x = 14

Add '4' to each side of the equation.
-4 + 4 + 5x = 14 + 4

Combine like terms: -4 + 4 = 0
0 + 5x = 14 + 4
5x = 14 + 4

Combine like terms: 14 + 4 = 18
5x = 18

Divide each side by '5'.
x = 3.6

Simplifying
x = 3.6

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