5(x-2)-4=3x+16

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Solution for 5(x-2)-4=3x+16 equation:


Simplifying
5(x + -2) + -4 = 3x + 16

Reorder the terms:
5(-2 + x) + -4 = 3x + 16
(-2 * 5 + x * 5) + -4 = 3x + 16
(-10 + 5x) + -4 = 3x + 16

Reorder the terms:
-10 + -4 + 5x = 3x + 16

Combine like terms: -10 + -4 = -14
-14 + 5x = 3x + 16

Reorder the terms:
-14 + 5x = 16 + 3x

Solving
-14 + 5x = 16 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-14 + 5x + -3x = 16 + 3x + -3x

Combine like terms: 5x + -3x = 2x
-14 + 2x = 16 + 3x + -3x

Combine like terms: 3x + -3x = 0
-14 + 2x = 16 + 0
-14 + 2x = 16

Add '14' to each side of the equation.
-14 + 14 + 2x = 16 + 14

Combine like terms: -14 + 14 = 0
0 + 2x = 16 + 14
2x = 16 + 14

Combine like terms: 16 + 14 = 30
2x = 30

Divide each side by '2'.
x = 15

Simplifying
x = 15

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