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

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


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

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

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

Reorder the terms:
12 + -5 + 3x + -1x = x + 4

Combine like terms: 12 + -5 = 7
7 + 3x + -1x = x + 4

Combine like terms: 3x + -1x = 2x
7 + 2x = x + 4

Reorder the terms:
7 + 2x = 4 + x

Solving
7 + 2x = 4 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
7 + 2x + -1x = 4 + x + -1x

Combine like terms: 2x + -1x = 1x
7 + 1x = 4 + x + -1x

Combine like terms: x + -1x = 0
7 + 1x = 4 + 0
7 + 1x = 4

Add '-7' to each side of the equation.
7 + -7 + 1x = 4 + -7

Combine like terms: 7 + -7 = 0
0 + 1x = 4 + -7
1x = 4 + -7

Combine like terms: 4 + -7 = -3
1x = -3

Divide each side by '1'.
x = -3

Simplifying
x = -3

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