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

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


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

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

Reorder the terms:
-6 + 3x + 2(-1 + 2x) = 2x + -3
-6 + 3x + (-1 * 2 + 2x * 2) = 2x + -3
-6 + 3x + (-2 + 4x) = 2x + -3

Reorder the terms:
-6 + -2 + 3x + 4x = 2x + -3

Combine like terms: -6 + -2 = -8
-8 + 3x + 4x = 2x + -3

Combine like terms: 3x + 4x = 7x
-8 + 7x = 2x + -3

Reorder the terms:
-8 + 7x = -3 + 2x

Solving
-8 + 7x = -3 + 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.
-8 + 7x + -2x = -3 + 2x + -2x

Combine like terms: 7x + -2x = 5x
-8 + 5x = -3 + 2x + -2x

Combine like terms: 2x + -2x = 0
-8 + 5x = -3 + 0
-8 + 5x = -3

Add '8' to each side of the equation.
-8 + 8 + 5x = -3 + 8

Combine like terms: -8 + 8 = 0
0 + 5x = -3 + 8
5x = -3 + 8

Combine like terms: -3 + 8 = 5
5x = 5

Divide each side by '5'.
x = 1

Simplifying
x = 1

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