10-5(x-3)=2x-8

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Solution for 10-5(x-3)=2x-8 equation:


Simplifying
10 + -5(x + -3) = 2x + -8

Reorder the terms:
10 + -5(-3 + x) = 2x + -8
10 + (-3 * -5 + x * -5) = 2x + -8
10 + (15 + -5x) = 2x + -8

Combine like terms: 10 + 15 = 25
25 + -5x = 2x + -8

Reorder the terms:
25 + -5x = -8 + 2x

Solving
25 + -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.
25 + -5x + -2x = -8 + 2x + -2x

Combine like terms: -5x + -2x = -7x
25 + -7x = -8 + 2x + -2x

Combine like terms: 2x + -2x = 0
25 + -7x = -8 + 0
25 + -7x = -8

Add '-25' to each side of the equation.
25 + -25 + -7x = -8 + -25

Combine like terms: 25 + -25 = 0
0 + -7x = -8 + -25
-7x = -8 + -25

Combine like terms: -8 + -25 = -33
-7x = -33

Divide each side by '-7'.
x = 4.714285714

Simplifying
x = 4.714285714

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