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

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


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

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

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

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

Reorder the terms:
-1 + 3x = 2(4 + x)
-1 + 3x = (4 * 2 + x * 2)
-1 + 3x = (8 + 2x)

Solving
-1 + 3x = 8 + 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.
-1 + 3x + -2x = 8 + 2x + -2x

Combine like terms: 3x + -2x = 1x
-1 + 1x = 8 + 2x + -2x

Combine like terms: 2x + -2x = 0
-1 + 1x = 8 + 0
-1 + 1x = 8

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

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

Combine like terms: 8 + 1 = 9
1x = 9

Divide each side by '1'.
x = 9

Simplifying
x = 9

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