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

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


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

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

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

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

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

Solving
5 + 5x = 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.
5 + 5x + -3x = 7 + 3x + -3x

Combine like terms: 5x + -3x = 2x
5 + 2x = 7 + 3x + -3x

Combine like terms: 3x + -3x = 0
5 + 2x = 7 + 0
5 + 2x = 7

Add '-5' to each side of the equation.
5 + -5 + 2x = 7 + -5

Combine like terms: 5 + -5 = 0
0 + 2x = 7 + -5
2x = 7 + -5

Combine like terms: 7 + -5 = 2
2x = 2

Divide each side by '2'.
x = 1

Simplifying
x = 1

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