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

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


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

Reorder the terms:
5(4 + 3x) + 2 = 5x + -4
(4 * 5 + 3x * 5) + 2 = 5x + -4
(20 + 15x) + 2 = 5x + -4

Reorder the terms:
20 + 2 + 15x = 5x + -4

Combine like terms: 20 + 2 = 22
22 + 15x = 5x + -4

Reorder the terms:
22 + 15x = -4 + 5x

Solving
22 + 15x = -4 + 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.
22 + 15x + -5x = -4 + 5x + -5x

Combine like terms: 15x + -5x = 10x
22 + 10x = -4 + 5x + -5x

Combine like terms: 5x + -5x = 0
22 + 10x = -4 + 0
22 + 10x = -4

Add '-22' to each side of the equation.
22 + -22 + 10x = -4 + -22

Combine like terms: 22 + -22 = 0
0 + 10x = -4 + -22
10x = -4 + -22

Combine like terms: -4 + -22 = -26
10x = -26

Divide each side by '10'.
x = -2.6

Simplifying
x = -2.6

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