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

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


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

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

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

Combine like terms: 20 + 3 = 23
23 + 5x = 3(2x + -2)

Reorder the terms:
23 + 5x = 3(-2 + 2x)
23 + 5x = (-2 * 3 + 2x * 3)
23 + 5x = (-6 + 6x)

Solving
23 + 5x = -6 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
23 + 5x + -6x = -6 + 6x + -6x

Combine like terms: 5x + -6x = -1x
23 + -1x = -6 + 6x + -6x

Combine like terms: 6x + -6x = 0
23 + -1x = -6 + 0
23 + -1x = -6

Add '-23' to each side of the equation.
23 + -23 + -1x = -6 + -23

Combine like terms: 23 + -23 = 0
0 + -1x = -6 + -23
-1x = -6 + -23

Combine like terms: -6 + -23 = -29
-1x = -29

Divide each side by '-1'.
x = 29

Simplifying
x = 29

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