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

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


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

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

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

Reorder the terms:
12 + -2 + 3x + 2x = 5

Combine like terms: 12 + -2 = 10
10 + 3x + 2x = 5

Combine like terms: 3x + 2x = 5x
10 + 5x = 5

Solving
10 + 5x = 5

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + -10 + 5x = 5 + -10

Combine like terms: 10 + -10 = 0
0 + 5x = 5 + -10
5x = 5 + -10

Combine like terms: 5 + -10 = -5
5x = -5

Divide each side by '5'.
x = -1

Simplifying
x = -1

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