5x-(3x+4)=3+x+11

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Solution for 5x-(3x+4)=3+x+11 equation:


Simplifying
5x + -1(3x + 4) = 3 + x + 11

Reorder the terms:
5x + -1(4 + 3x) = 3 + x + 11
5x + (4 * -1 + 3x * -1) = 3 + x + 11
5x + (-4 + -3x) = 3 + x + 11

Reorder the terms:
-4 + 5x + -3x = 3 + x + 11

Combine like terms: 5x + -3x = 2x
-4 + 2x = 3 + x + 11

Reorder the terms:
-4 + 2x = 3 + 11 + x

Combine like terms: 3 + 11 = 14
-4 + 2x = 14 + x

Solving
-4 + 2x = 14 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-4 + 2x + -1x = 14 + x + -1x

Combine like terms: 2x + -1x = 1x
-4 + 1x = 14 + x + -1x

Combine like terms: x + -1x = 0
-4 + 1x = 14 + 0
-4 + 1x = 14

Add '4' to each side of the equation.
-4 + 4 + 1x = 14 + 4

Combine like terms: -4 + 4 = 0
0 + 1x = 14 + 4
1x = 14 + 4

Combine like terms: 14 + 4 = 18
1x = 18

Divide each side by '1'.
x = 18

Simplifying
x = 18

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