5(x+1)-2(x+3)=10-1

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Solution for 5(x+1)-2(x+3)=10-1 equation:


Simplifying
5(x + 1) + -2(x + 3) = 10 + -1

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

Reorder the terms:
5 + 5x + -2(3 + x) = 10 + -1
5 + 5x + (3 * -2 + x * -2) = 10 + -1
5 + 5x + (-6 + -2x) = 10 + -1

Reorder the terms:
5 + -6 + 5x + -2x = 10 + -1

Combine like terms: 5 + -6 = -1
-1 + 5x + -2x = 10 + -1

Combine like terms: 5x + -2x = 3x
-1 + 3x = 10 + -1

Combine like terms: 10 + -1 = 9
-1 + 3x = 9

Solving
-1 + 3x = 9

Solving for variable 'x'.

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

Add '1' to each side of the equation.
-1 + 1 + 3x = 9 + 1

Combine like terms: -1 + 1 = 0
0 + 3x = 9 + 1
3x = 9 + 1

Combine like terms: 9 + 1 = 10
3x = 10

Divide each side by '3'.
x = 3.333333333

Simplifying
x = 3.333333333

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