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

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


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

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

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

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

Combine like terms: -3 + -4 = -7
-7 + 6x + -2x = 1

Combine like terms: 6x + -2x = 4x
-7 + 4x = 1

Solving
-7 + 4x = 1

Solving for variable 'x'.

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

Add '7' to each side of the equation.
-7 + 7 + 4x = 1 + 7

Combine like terms: -7 + 7 = 0
0 + 4x = 1 + 7
4x = 1 + 7

Combine like terms: 1 + 7 = 8
4x = 8

Divide each side by '4'.
x = 2

Simplifying
x = 2

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