3(2x+1)+2(x-1)=23

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Solution for 3(2x+1)+2(x-1)=23 equation:


Simplifying
3(2x + 1) + 2(x + -1) = 23

Reorder the terms:
3(1 + 2x) + 2(x + -1) = 23
(1 * 3 + 2x * 3) + 2(x + -1) = 23
(3 + 6x) + 2(x + -1) = 23

Reorder the terms:
3 + 6x + 2(-1 + x) = 23
3 + 6x + (-1 * 2 + x * 2) = 23
3 + 6x + (-2 + 2x) = 23

Reorder the terms:
3 + -2 + 6x + 2x = 23

Combine like terms: 3 + -2 = 1
1 + 6x + 2x = 23

Combine like terms: 6x + 2x = 8x
1 + 8x = 23

Solving
1 + 8x = 23

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + -1 + 8x = 23 + -1

Combine like terms: 1 + -1 = 0
0 + 8x = 23 + -1
8x = 23 + -1

Combine like terms: 23 + -1 = 22
8x = 22

Divide each side by '8'.
x = 2.75

Simplifying
x = 2.75

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