5(x-8)=-3x+10

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Solution for 5(x-8)=-3x+10 equation:


Simplifying
5(x + -8) = -3x + 10

Reorder the terms:
5(-8 + x) = -3x + 10
(-8 * 5 + x * 5) = -3x + 10
(-40 + 5x) = -3x + 10

Reorder the terms:
-40 + 5x = 10 + -3x

Solving
-40 + 5x = 10 + -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.
-40 + 5x + 3x = 10 + -3x + 3x

Combine like terms: 5x + 3x = 8x
-40 + 8x = 10 + -3x + 3x

Combine like terms: -3x + 3x = 0
-40 + 8x = 10 + 0
-40 + 8x = 10

Add '40' to each side of the equation.
-40 + 40 + 8x = 10 + 40

Combine like terms: -40 + 40 = 0
0 + 8x = 10 + 40
8x = 10 + 40

Combine like terms: 10 + 40 = 50
8x = 50

Divide each side by '8'.
x = 6.25

Simplifying
x = 6.25

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