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

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


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

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

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

Reorder the terms:
12 + -2 + 3x + -2x = 4

Combine like terms: 12 + -2 = 10
10 + 3x + -2x = 4

Combine like terms: 3x + -2x = 1x
10 + 1x = 4

Solving
10 + 1x = 4

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 + 1x = 4 + -10

Combine like terms: 10 + -10 = 0
0 + 1x = 4 + -10
1x = 4 + -10

Combine like terms: 4 + -10 = -6
1x = -6

Divide each side by '1'.
x = -6

Simplifying
x = -6

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