30-(3x+4)=2(x+7)+x

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Solution for 30-(3x+4)=2(x+7)+x equation:


Simplifying
30 + -1(3x + 4) = 2(x + 7) + x

Reorder the terms:
30 + -1(4 + 3x) = 2(x + 7) + x
30 + (4 * -1 + 3x * -1) = 2(x + 7) + x
30 + (-4 + -3x) = 2(x + 7) + x

Combine like terms: 30 + -4 = 26
26 + -3x = 2(x + 7) + x

Reorder the terms:
26 + -3x = 2(7 + x) + x
26 + -3x = (7 * 2 + x * 2) + x
26 + -3x = (14 + 2x) + x

Combine like terms: 2x + x = 3x
26 + -3x = 14 + 3x

Solving
26 + -3x = 14 + 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.
26 + -3x + -3x = 14 + 3x + -3x

Combine like terms: -3x + -3x = -6x
26 + -6x = 14 + 3x + -3x

Combine like terms: 3x + -3x = 0
26 + -6x = 14 + 0
26 + -6x = 14

Add '-26' to each side of the equation.
26 + -26 + -6x = 14 + -26

Combine like terms: 26 + -26 = 0
0 + -6x = 14 + -26
-6x = 14 + -26

Combine like terms: 14 + -26 = -12
-6x = -12

Divide each side by '-6'.
x = 2

Simplifying
x = 2

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