3(5x-4)=-33+8x

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Solution for 3(5x-4)=-33+8x equation:


Simplifying
3(5x + -4) = -33 + 8x

Reorder the terms:
3(-4 + 5x) = -33 + 8x
(-4 * 3 + 5x * 3) = -33 + 8x
(-12 + 15x) = -33 + 8x

Solving
-12 + 15x = -33 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-12 + 15x + -8x = -33 + 8x + -8x

Combine like terms: 15x + -8x = 7x
-12 + 7x = -33 + 8x + -8x

Combine like terms: 8x + -8x = 0
-12 + 7x = -33 + 0
-12 + 7x = -33

Add '12' to each side of the equation.
-12 + 12 + 7x = -33 + 12

Combine like terms: -12 + 12 = 0
0 + 7x = -33 + 12
7x = -33 + 12

Combine like terms: -33 + 12 = -21
7x = -21

Divide each side by '7'.
x = -3

Simplifying
x = -3

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