5(x+1)-3(x+1)=14

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Solution for 5(x+1)-3(x+1)=14 equation:


Simplifying
5(x + 1) + -3(x + 1) = 14

Reorder the terms:
5(1 + x) + -3(x + 1) = 14
(1 * 5 + x * 5) + -3(x + 1) = 14
(5 + 5x) + -3(x + 1) = 14

Reorder the terms:
5 + 5x + -3(1 + x) = 14
5 + 5x + (1 * -3 + x * -3) = 14
5 + 5x + (-3 + -3x) = 14

Reorder the terms:
5 + -3 + 5x + -3x = 14

Combine like terms: 5 + -3 = 2
2 + 5x + -3x = 14

Combine like terms: 5x + -3x = 2x
2 + 2x = 14

Solving
2 + 2x = 14

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + 2x = 14 + -2

Combine like terms: 2 + -2 = 0
0 + 2x = 14 + -2
2x = 14 + -2

Combine like terms: 14 + -2 = 12
2x = 12

Divide each side by '2'.
x = 6

Simplifying
x = 6

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