5(x-2)-8=-4(x-3)

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Solution for 5(x-2)-8=-4(x-3) equation:


Simplifying
5(x + -2) + -8 = -4(x + -3)

Reorder the terms:
5(-2 + x) + -8 = -4(x + -3)
(-2 * 5 + x * 5) + -8 = -4(x + -3)
(-10 + 5x) + -8 = -4(x + -3)

Reorder the terms:
-10 + -8 + 5x = -4(x + -3)

Combine like terms: -10 + -8 = -18
-18 + 5x = -4(x + -3)

Reorder the terms:
-18 + 5x = -4(-3 + x)
-18 + 5x = (-3 * -4 + x * -4)
-18 + 5x = (12 + -4x)

Solving
-18 + 5x = 12 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-18 + 5x + 4x = 12 + -4x + 4x

Combine like terms: 5x + 4x = 9x
-18 + 9x = 12 + -4x + 4x

Combine like terms: -4x + 4x = 0
-18 + 9x = 12 + 0
-18 + 9x = 12

Add '18' to each side of the equation.
-18 + 18 + 9x = 12 + 18

Combine like terms: -18 + 18 = 0
0 + 9x = 12 + 18
9x = 12 + 18

Combine like terms: 12 + 18 = 30
9x = 30

Divide each side by '9'.
x = 3.333333333

Simplifying
x = 3.333333333

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