5(x-3)-9=2(8-2x)+14

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Solution for 5(x-3)-9=2(8-2x)+14 equation:


Simplifying
5(x + -3) + -9 = 2(8 + -2x) + 14

Reorder the terms:
5(-3 + x) + -9 = 2(8 + -2x) + 14
(-3 * 5 + x * 5) + -9 = 2(8 + -2x) + 14
(-15 + 5x) + -9 = 2(8 + -2x) + 14

Reorder the terms:
-15 + -9 + 5x = 2(8 + -2x) + 14

Combine like terms: -15 + -9 = -24
-24 + 5x = 2(8 + -2x) + 14
-24 + 5x = (8 * 2 + -2x * 2) + 14
-24 + 5x = (16 + -4x) + 14

Reorder the terms:
-24 + 5x = 16 + 14 + -4x

Combine like terms: 16 + 14 = 30
-24 + 5x = 30 + -4x

Solving
-24 + 5x = 30 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-24 + 5x + 4x = 30 + -4x + 4x

Combine like terms: 5x + 4x = 9x
-24 + 9x = 30 + -4x + 4x

Combine like terms: -4x + 4x = 0
-24 + 9x = 30 + 0
-24 + 9x = 30

Add '24' to each side of the equation.
-24 + 24 + 9x = 30 + 24

Combine like terms: -24 + 24 = 0
0 + 9x = 30 + 24
9x = 30 + 24

Combine like terms: 30 + 24 = 54
9x = 54

Divide each side by '9'.
x = 6

Simplifying
x = 6

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