10(x-8)=3x-33

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Solution for 10(x-8)=3x-33 equation:


Simplifying
10(x + -8) = 3x + -33

Reorder the terms:
10(-8 + x) = 3x + -33
(-8 * 10 + x * 10) = 3x + -33
(-80 + 10x) = 3x + -33

Reorder the terms:
-80 + 10x = -33 + 3x

Solving
-80 + 10x = -33 + 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.
-80 + 10x + -3x = -33 + 3x + -3x

Combine like terms: 10x + -3x = 7x
-80 + 7x = -33 + 3x + -3x

Combine like terms: 3x + -3x = 0
-80 + 7x = -33 + 0
-80 + 7x = -33

Add '80' to each side of the equation.
-80 + 80 + 7x = -33 + 80

Combine like terms: -80 + 80 = 0
0 + 7x = -33 + 80
7x = -33 + 80

Combine like terms: -33 + 80 = 47
7x = 47

Divide each side by '7'.
x = 6.714285714

Simplifying
x = 6.714285714

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