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

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


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

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

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

Combine like terms: -10 + -3 = -13
-13 + 5x = 2(x + 4)

Reorder the terms:
-13 + 5x = 2(4 + x)
-13 + 5x = (4 * 2 + x * 2)
-13 + 5x = (8 + 2x)

Solving
-13 + 5x = 8 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-13 + 5x + -2x = 8 + 2x + -2x

Combine like terms: 5x + -2x = 3x
-13 + 3x = 8 + 2x + -2x

Combine like terms: 2x + -2x = 0
-13 + 3x = 8 + 0
-13 + 3x = 8

Add '13' to each side of the equation.
-13 + 13 + 3x = 8 + 13

Combine like terms: -13 + 13 = 0
0 + 3x = 8 + 13
3x = 8 + 13

Combine like terms: 8 + 13 = 21
3x = 21

Divide each side by '3'.
x = 7

Simplifying
x = 7

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