5(x+2)-3(x+1)=9

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Solution for 5(x+2)-3(x+1)=9 equation:


Simplifying
5(x + 2) + -3(x + 1) = 9

Reorder the terms:
5(2 + x) + -3(x + 1) = 9
(2 * 5 + x * 5) + -3(x + 1) = 9
(10 + 5x) + -3(x + 1) = 9

Reorder the terms:
10 + 5x + -3(1 + x) = 9
10 + 5x + (1 * -3 + x * -3) = 9
10 + 5x + (-3 + -3x) = 9

Reorder the terms:
10 + -3 + 5x + -3x = 9

Combine like terms: 10 + -3 = 7
7 + 5x + -3x = 9

Combine like terms: 5x + -3x = 2x
7 + 2x = 9

Solving
7 + 2x = 9

Solving for variable 'x'.

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

Add '-7' to each side of the equation.
7 + -7 + 2x = 9 + -7

Combine like terms: 7 + -7 = 0
0 + 2x = 9 + -7
2x = 9 + -7

Combine like terms: 9 + -7 = 2
2x = 2

Divide each side by '2'.
x = 1

Simplifying
x = 1

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