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

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


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

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

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

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

Reorder the terms:
-13 + 5x = -3(-4 + x)
-13 + 5x = (-4 * -3 + x * -3)
-13 + 5x = (12 + -3x)

Solving
-13 + 5x = 12 + -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.
-13 + 5x + 3x = 12 + -3x + 3x

Combine like terms: 5x + 3x = 8x
-13 + 8x = 12 + -3x + 3x

Combine like terms: -3x + 3x = 0
-13 + 8x = 12 + 0
-13 + 8x = 12

Add '13' to each side of the equation.
-13 + 13 + 8x = 12 + 13

Combine like terms: -13 + 13 = 0
0 + 8x = 12 + 13
8x = 12 + 13

Combine like terms: 12 + 13 = 25
8x = 25

Divide each side by '8'.
x = 3.125

Simplifying
x = 3.125

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