5(3x+1)-2(x+1)=29

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Solution for 5(3x+1)-2(x+1)=29 equation:


Simplifying
5(3x + 1) + -2(x + 1) = 29

Reorder the terms:
5(1 + 3x) + -2(x + 1) = 29
(1 * 5 + 3x * 5) + -2(x + 1) = 29
(5 + 15x) + -2(x + 1) = 29

Reorder the terms:
5 + 15x + -2(1 + x) = 29
5 + 15x + (1 * -2 + x * -2) = 29
5 + 15x + (-2 + -2x) = 29

Reorder the terms:
5 + -2 + 15x + -2x = 29

Combine like terms: 5 + -2 = 3
3 + 15x + -2x = 29

Combine like terms: 15x + -2x = 13x
3 + 13x = 29

Solving
3 + 13x = 29

Solving for variable 'x'.

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

Add '-3' to each side of the equation.
3 + -3 + 13x = 29 + -3

Combine like terms: 3 + -3 = 0
0 + 13x = 29 + -3
13x = 29 + -3

Combine like terms: 29 + -3 = 26
13x = 26

Divide each side by '13'.
x = 2

Simplifying
x = 2

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