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

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Solution for 3(x-2)+5=2(2x+1)-2x equation:


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

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

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

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

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

Combine like terms: 4x + -2x = 2x
-1 + 3x = 2 + 2x

Solving
-1 + 3x = 2 + 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.
-1 + 3x + -2x = 2 + 2x + -2x

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

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

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

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

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

Divide each side by '1'.
x = 3

Simplifying
x = 3

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