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

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


Simplifying
5(2 + -1x) + 3x = x + -2
(2 * 5 + -1x * 5) + 3x = x + -2
(10 + -5x) + 3x = x + -2

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

Reorder the terms:
10 + -2x = -2 + x

Solving
10 + -2x = -2 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
10 + -2x + -1x = -2 + x + -1x

Combine like terms: -2x + -1x = -3x
10 + -3x = -2 + x + -1x

Combine like terms: x + -1x = 0
10 + -3x = -2 + 0
10 + -3x = -2

Add '-10' to each side of the equation.
10 + -10 + -3x = -2 + -10

Combine like terms: 10 + -10 = 0
0 + -3x = -2 + -10
-3x = -2 + -10

Combine like terms: -2 + -10 = -12
-3x = -12

Divide each side by '-3'.
x = 4

Simplifying
x = 4

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