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

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


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

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

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

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

Solving
-5 + 4x = -4 + 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.
-5 + 4x + -2x = -4 + 2x + -2x

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

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

Add '5' to each side of the equation.
-5 + 5 + 2x = -4 + 5

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

Combine like terms: -4 + 5 = 1
2x = 1

Divide each side by '2'.
x = 0.5

Simplifying
x = 0.5

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