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

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


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

Reorder the terms:
2(5 + x) + -3 = 5(x + 3) + -14
(5 * 2 + x * 2) + -3 = 5(x + 3) + -14
(10 + 2x) + -3 = 5(x + 3) + -14

Reorder the terms:
10 + -3 + 2x = 5(x + 3) + -14

Combine like terms: 10 + -3 = 7
7 + 2x = 5(x + 3) + -14

Reorder the terms:
7 + 2x = 5(3 + x) + -14
7 + 2x = (3 * 5 + x * 5) + -14
7 + 2x = (15 + 5x) + -14

Reorder the terms:
7 + 2x = 15 + -14 + 5x

Combine like terms: 15 + -14 = 1
7 + 2x = 1 + 5x

Solving
7 + 2x = 1 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
7 + 2x + -5x = 1 + 5x + -5x

Combine like terms: 2x + -5x = -3x
7 + -3x = 1 + 5x + -5x

Combine like terms: 5x + -5x = 0
7 + -3x = 1 + 0
7 + -3x = 1

Add '-7' to each side of the equation.
7 + -7 + -3x = 1 + -7

Combine like terms: 7 + -7 = 0
0 + -3x = 1 + -7
-3x = 1 + -7

Combine like terms: 1 + -7 = -6
-3x = -6

Divide each side by '-3'.
x = 2

Simplifying
x = 2

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