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

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


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

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

Reorder the terms:
-12 + 4x = 30 + -3x

Solving
-12 + 4x = 30 + -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.
-12 + 4x + 3x = 30 + -3x + 3x

Combine like terms: 4x + 3x = 7x
-12 + 7x = 30 + -3x + 3x

Combine like terms: -3x + 3x = 0
-12 + 7x = 30 + 0
-12 + 7x = 30

Add '12' to each side of the equation.
-12 + 12 + 7x = 30 + 12

Combine like terms: -12 + 12 = 0
0 + 7x = 30 + 12
7x = 30 + 12

Combine like terms: 30 + 12 = 42
7x = 42

Divide each side by '7'.
x = 6

Simplifying
x = 6

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