5(x+4)-4=3x-10

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Solution for 5(x+4)-4=3x-10 equation:


Simplifying
5(x + 4) + -4 = 3x + -10

Reorder the terms:
5(4 + x) + -4 = 3x + -10
(4 * 5 + x * 5) + -4 = 3x + -10
(20 + 5x) + -4 = 3x + -10

Reorder the terms:
20 + -4 + 5x = 3x + -10

Combine like terms: 20 + -4 = 16
16 + 5x = 3x + -10

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

Solving
16 + 5x = -10 + 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.
16 + 5x + -3x = -10 + 3x + -3x

Combine like terms: 5x + -3x = 2x
16 + 2x = -10 + 3x + -3x

Combine like terms: 3x + -3x = 0
16 + 2x = -10 + 0
16 + 2x = -10

Add '-16' to each side of the equation.
16 + -16 + 2x = -10 + -16

Combine like terms: 16 + -16 = 0
0 + 2x = -10 + -16
2x = -10 + -16

Combine like terms: -10 + -16 = -26
2x = -26

Divide each side by '2'.
x = -13

Simplifying
x = -13

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