3(x+4)-2(x-5)+1=

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Solution for 3(x+4)-2(x-5)+1= equation:


Simplifying
3(x + 4) + -2(x + -5) + 1 = 0

Reorder the terms:
3(4 + x) + -2(x + -5) + 1 = 0
(4 * 3 + x * 3) + -2(x + -5) + 1 = 0
(12 + 3x) + -2(x + -5) + 1 = 0

Reorder the terms:
12 + 3x + -2(-5 + x) + 1 = 0
12 + 3x + (-5 * -2 + x * -2) + 1 = 0
12 + 3x + (10 + -2x) + 1 = 0

Reorder the terms:
12 + 10 + 1 + 3x + -2x = 0

Combine like terms: 12 + 10 = 22
22 + 1 + 3x + -2x = 0

Combine like terms: 22 + 1 = 23
23 + 3x + -2x = 0

Combine like terms: 3x + -2x = 1x
23 + 1x = 0

Solving
23 + 1x = 0

Solving for variable 'x'.

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

Add '-23' to each side of the equation.
23 + -23 + 1x = 0 + -23

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

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

Divide each side by '1'.
x = -23

Simplifying
x = -23

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