30-(3x+10)=3(x+2)+x

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Solution for 30-(3x+10)=3(x+2)+x equation:


Simplifying
30 + -1(3x + 10) = 3(x + 2) + x

Reorder the terms:
30 + -1(10 + 3x) = 3(x + 2) + x
30 + (10 * -1 + 3x * -1) = 3(x + 2) + x
30 + (-10 + -3x) = 3(x + 2) + x

Combine like terms: 30 + -10 = 20
20 + -3x = 3(x + 2) + x

Reorder the terms:
20 + -3x = 3(2 + x) + x
20 + -3x = (2 * 3 + x * 3) + x
20 + -3x = (6 + 3x) + x

Combine like terms: 3x + x = 4x
20 + -3x = 6 + 4x

Solving
20 + -3x = 6 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
20 + -3x + -4x = 6 + 4x + -4x

Combine like terms: -3x + -4x = -7x
20 + -7x = 6 + 4x + -4x

Combine like terms: 4x + -4x = 0
20 + -7x = 6 + 0
20 + -7x = 6

Add '-20' to each side of the equation.
20 + -20 + -7x = 6 + -20

Combine like terms: 20 + -20 = 0
0 + -7x = 6 + -20
-7x = 6 + -20

Combine like terms: 6 + -20 = -14
-7x = -14

Divide each side by '-7'.
x = 2

Simplifying
x = 2

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