5(x+3)-(x+4)=3x+7

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Solution for 5(x+3)-(x+4)=3x+7 equation:


Simplifying
5(x + 3) + -1(x + 4) = 3x + 7

Reorder the terms:
5(3 + x) + -1(x + 4) = 3x + 7
(3 * 5 + x * 5) + -1(x + 4) = 3x + 7
(15 + 5x) + -1(x + 4) = 3x + 7

Reorder the terms:
15 + 5x + -1(4 + x) = 3x + 7
15 + 5x + (4 * -1 + x * -1) = 3x + 7
15 + 5x + (-4 + -1x) = 3x + 7

Reorder the terms:
15 + -4 + 5x + -1x = 3x + 7

Combine like terms: 15 + -4 = 11
11 + 5x + -1x = 3x + 7

Combine like terms: 5x + -1x = 4x
11 + 4x = 3x + 7

Reorder the terms:
11 + 4x = 7 + 3x

Solving
11 + 4x = 7 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
11 + 4x + -3x = 7 + 3x + -3x

Combine like terms: 4x + -3x = 1x
11 + 1x = 7 + 3x + -3x

Combine like terms: 3x + -3x = 0
11 + 1x = 7 + 0
11 + 1x = 7

Add '-11' to each side of the equation.
11 + -11 + 1x = 7 + -11

Combine like terms: 11 + -11 = 0
0 + 1x = 7 + -11
1x = 7 + -11

Combine like terms: 7 + -11 = -4
1x = -4

Divide each side by '1'.
x = -4

Simplifying
x = -4

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