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

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


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

Reorder the terms:
5(3 + 2x) + -2(3x + 1) = 29
(3 * 5 + 2x * 5) + -2(3x + 1) = 29
(15 + 10x) + -2(3x + 1) = 29

Reorder the terms:
15 + 10x + -2(1 + 3x) = 29
15 + 10x + (1 * -2 + 3x * -2) = 29
15 + 10x + (-2 + -6x) = 29

Reorder the terms:
15 + -2 + 10x + -6x = 29

Combine like terms: 15 + -2 = 13
13 + 10x + -6x = 29

Combine like terms: 10x + -6x = 4x
13 + 4x = 29

Solving
13 + 4x = 29

Solving for variable 'x'.

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

Add '-13' to each side of the equation.
13 + -13 + 4x = 29 + -13

Combine like terms: 13 + -13 = 0
0 + 4x = 29 + -13
4x = 29 + -13

Combine like terms: 29 + -13 = 16
4x = 16

Divide each side by '4'.
x = 4

Simplifying
x = 4

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