3*(x+2)+4=2*(x+1)+23

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Solution for 3*(x+2)+4=2*(x+1)+23 equation:


Simplifying
3(x + 2) + 4 = 2(x + 1) + 23

Reorder the terms:
3(2 + x) + 4 = 2(x + 1) + 23
(2 * 3 + x * 3) + 4 = 2(x + 1) + 23
(6 + 3x) + 4 = 2(x + 1) + 23

Reorder the terms:
6 + 4 + 3x = 2(x + 1) + 23

Combine like terms: 6 + 4 = 10
10 + 3x = 2(x + 1) + 23

Reorder the terms:
10 + 3x = 2(1 + x) + 23
10 + 3x = (1 * 2 + x * 2) + 23
10 + 3x = (2 + 2x) + 23

Reorder the terms:
10 + 3x = 2 + 23 + 2x

Combine like terms: 2 + 23 = 25
10 + 3x = 25 + 2x

Solving
10 + 3x = 25 + 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.
10 + 3x + -2x = 25 + 2x + -2x

Combine like terms: 3x + -2x = 1x
10 + 1x = 25 + 2x + -2x

Combine like terms: 2x + -2x = 0
10 + 1x = 25 + 0
10 + 1x = 25

Add '-10' to each side of the equation.
10 + -10 + 1x = 25 + -10

Combine like terms: 10 + -10 = 0
0 + 1x = 25 + -10
1x = 25 + -10

Combine like terms: 25 + -10 = 15
1x = 15

Divide each side by '1'.
x = 15

Simplifying
x = 15

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