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

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


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

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

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

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

Remove parenthesis around (7 + x)
26 + -3x = 7 + x + x

Combine like terms: x + x = 2x
26 + -3x = 7 + 2x

Solving
26 + -3x = 7 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
26 + -3x + -2x = 7 + 2x + -2x

Combine like terms: -3x + -2x = -5x
26 + -5x = 7 + 2x + -2x

Combine like terms: 2x + -2x = 0
26 + -5x = 7 + 0
26 + -5x = 7

Add '-26' to each side of the equation.
26 + -26 + -5x = 7 + -26

Combine like terms: 26 + -26 = 0
0 + -5x = 7 + -26
-5x = 7 + -26

Combine like terms: 7 + -26 = -19
-5x = -19

Divide each side by '-5'.
x = 3.8

Simplifying
x = 3.8

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