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

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


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

Reorder the terms:
5(3 + 2x) + -3(x + 1) = 5
(3 * 5 + 2x * 5) + -3(x + 1) = 5
(15 + 10x) + -3(x + 1) = 5

Reorder the terms:
15 + 10x + -3(1 + x) = 5
15 + 10x + (1 * -3 + x * -3) = 5
15 + 10x + (-3 + -3x) = 5

Reorder the terms:
15 + -3 + 10x + -3x = 5

Combine like terms: 15 + -3 = 12
12 + 10x + -3x = 5

Combine like terms: 10x + -3x = 7x
12 + 7x = 5

Solving
12 + 7x = 5

Solving for variable 'x'.

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

Add '-12' to each side of the equation.
12 + -12 + 7x = 5 + -12

Combine like terms: 12 + -12 = 0
0 + 7x = 5 + -12
7x = 5 + -12

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

Divide each side by '7'.
x = -1

Simplifying
x = -1

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