-3(x-5)=-8x+45

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Solution for -3(x-5)=-8x+45 equation:


Simplifying
-3(x + -5) = -8x + 45

Reorder the terms:
-3(-5 + x) = -8x + 45
(-5 * -3 + x * -3) = -8x + 45
(15 + -3x) = -8x + 45

Reorder the terms:
15 + -3x = 45 + -8x

Solving
15 + -3x = 45 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
15 + -3x + 8x = 45 + -8x + 8x

Combine like terms: -3x + 8x = 5x
15 + 5x = 45 + -8x + 8x

Combine like terms: -8x + 8x = 0
15 + 5x = 45 + 0
15 + 5x = 45

Add '-15' to each side of the equation.
15 + -15 + 5x = 45 + -15

Combine like terms: 15 + -15 = 0
0 + 5x = 45 + -15
5x = 45 + -15

Combine like terms: 45 + -15 = 30
5x = 30

Divide each side by '5'.
x = 6

Simplifying
x = 6

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