3+8(5-6x)=13-33x

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Solution for 3+8(5-6x)=13-33x equation: 


Simplifying
3 + 8(5 + -6x) = 13 + -33x
3 + (5 * 8 + -6x * 8) = 13 + -33x
3 + (40 + -48x) = 13 + -33x

Combine like terms: 3 + 40 = 43
43 + -48x = 13 + -33x

Solving
43 + -48x = 13 + -33x

Solving for variable 'x'.

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

Add '33x' to each side of the equation.
43 + -48x + 33x = 13 + -33x + 33x

Combine like terms: -48x + 33x = -15x
43 + -15x = 13 + -33x + 33x

Combine like terms: -33x + 33x = 0
43 + -15x = 13 + 0
43 + -15x = 13

Add '-43' to each side of the equation.
43 + -43 + -15x = 13 + -43

Combine like terms: 43 + -43 = 0
0 + -15x = 13 + -43
-15x = 13 + -43

Combine like terms: 13 + -43 = -30
-15x = -30

Divide each side by '-15'.
x = 2

Simplifying
x = 2

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