3(x-4)=30-5x

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Solution for 3(x-4)=30-5x equation:


Simplifying
3(x + -4) = 30 + -5x

Reorder the terms:
3(-4 + x) = 30 + -5x
(-4 * 3 + x * 3) = 30 + -5x
(-12 + 3x) = 30 + -5x

Solving
-12 + 3x = 30 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-12 + 3x + 5x = 30 + -5x + 5x

Combine like terms: 3x + 5x = 8x
-12 + 8x = 30 + -5x + 5x

Combine like terms: -5x + 5x = 0
-12 + 8x = 30 + 0
-12 + 8x = 30

Add '12' to each side of the equation.
-12 + 12 + 8x = 30 + 12

Combine like terms: -12 + 12 = 0
0 + 8x = 30 + 12
8x = 30 + 12

Combine like terms: 30 + 12 = 42
8x = 42

Divide each side by '8'.
x = 5.25

Simplifying
x = 5.25

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