10(x-3)=3x-8

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


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

Reorder the terms:
10(-3 + x) = 3x + -8
(-3 * 10 + x * 10) = 3x + -8
(-30 + 10x) = 3x + -8

Reorder the terms:
-30 + 10x = -8 + 3x

Solving
-30 + 10x = -8 + 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.
-30 + 10x + -3x = -8 + 3x + -3x

Combine like terms: 10x + -3x = 7x
-30 + 7x = -8 + 3x + -3x

Combine like terms: 3x + -3x = 0
-30 + 7x = -8 + 0
-30 + 7x = -8

Add '30' to each side of the equation.
-30 + 30 + 7x = -8 + 30

Combine like terms: -30 + 30 = 0
0 + 7x = -8 + 30
7x = -8 + 30

Combine like terms: -8 + 30 = 22
7x = 22

Divide each side by '7'.
x = 3.142857143

Simplifying
x = 3.142857143

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