2(2x+5)-(3x-4)=29

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Solution for 2(2x+5)-(3x-4)=29 equation:


Simplifying
2(2x + 5) + -1(3x + -4) = 29

Reorder the terms:
2(5 + 2x) + -1(3x + -4) = 29
(5 * 2 + 2x * 2) + -1(3x + -4) = 29
(10 + 4x) + -1(3x + -4) = 29

Reorder the terms:
10 + 4x + -1(-4 + 3x) = 29
10 + 4x + (-4 * -1 + 3x * -1) = 29
10 + 4x + (4 + -3x) = 29

Reorder the terms:
10 + 4 + 4x + -3x = 29

Combine like terms: 10 + 4 = 14
14 + 4x + -3x = 29

Combine like terms: 4x + -3x = 1x
14 + 1x = 29

Solving
14 + 1x = 29

Solving for variable 'x'.

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

Add '-14' to each side of the equation.
14 + -14 + 1x = 29 + -14

Combine like terms: 14 + -14 = 0
0 + 1x = 29 + -14
1x = 29 + -14

Combine like terms: 29 + -14 = 15
1x = 15

Divide each side by '1'.
x = 15

Simplifying
x = 15

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