4(x+6)-(3x-3)=30

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Solution for 4(x+6)-(3x-3)=30 equation:


Simplifying
4(x + 6) + -1(3x + -3) = 30

Reorder the terms:
4(6 + x) + -1(3x + -3) = 30
(6 * 4 + x * 4) + -1(3x + -3) = 30
(24 + 4x) + -1(3x + -3) = 30

Reorder the terms:
24 + 4x + -1(-3 + 3x) = 30
24 + 4x + (-3 * -1 + 3x * -1) = 30
24 + 4x + (3 + -3x) = 30

Reorder the terms:
24 + 3 + 4x + -3x = 30

Combine like terms: 24 + 3 = 27
27 + 4x + -3x = 30

Combine like terms: 4x + -3x = 1x
27 + 1x = 30

Solving
27 + 1x = 30

Solving for variable 'x'.

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

Add '-27' to each side of the equation.
27 + -27 + 1x = 30 + -27

Combine like terms: 27 + -27 = 0
0 + 1x = 30 + -27
1x = 30 + -27

Combine like terms: 30 + -27 = 3
1x = 3

Divide each side by '1'.
x = 3

Simplifying
x = 3

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