2(x+2)-5(3x-5)=14

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Solution for 2(x+2)-5(3x-5)=14 equation:


Simplifying
2(x + 2) + -5(3x + -5) = 14

Reorder the terms:
2(2 + x) + -5(3x + -5) = 14
(2 * 2 + x * 2) + -5(3x + -5) = 14
(4 + 2x) + -5(3x + -5) = 14

Reorder the terms:
4 + 2x + -5(-5 + 3x) = 14
4 + 2x + (-5 * -5 + 3x * -5) = 14
4 + 2x + (25 + -15x) = 14

Reorder the terms:
4 + 25 + 2x + -15x = 14

Combine like terms: 4 + 25 = 29
29 + 2x + -15x = 14

Combine like terms: 2x + -15x = -13x
29 + -13x = 14

Solving
29 + -13x = 14

Solving for variable 'x'.

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

Add '-29' to each side of the equation.
29 + -29 + -13x = 14 + -29

Combine like terms: 29 + -29 = 0
0 + -13x = 14 + -29
-13x = 14 + -29

Combine like terms: 14 + -29 = -15
-13x = -15

Divide each side by '-13'.
x = 1.153846154

Simplifying
x = 1.153846154

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