x+3-14x+11=3x-12-10x

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Solution for x+3-14x+11=3x-12-10x equation:


Simplifying
x + 3 + -14x + 11 = 3x + -12 + -10x

Reorder the terms:
3 + 11 + x + -14x = 3x + -12 + -10x

Combine like terms: 3 + 11 = 14
14 + x + -14x = 3x + -12 + -10x

Combine like terms: x + -14x = -13x
14 + -13x = 3x + -12 + -10x

Reorder the terms:
14 + -13x = -12 + 3x + -10x

Combine like terms: 3x + -10x = -7x
14 + -13x = -12 + -7x

Solving
14 + -13x = -12 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
14 + -13x + 7x = -12 + -7x + 7x

Combine like terms: -13x + 7x = -6x
14 + -6x = -12 + -7x + 7x

Combine like terms: -7x + 7x = 0
14 + -6x = -12 + 0
14 + -6x = -12

Add '-14' to each side of the equation.
14 + -14 + -6x = -12 + -14

Combine like terms: 14 + -14 = 0
0 + -6x = -12 + -14
-6x = -12 + -14

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

Divide each side by '-6'.
x = 4.333333333

Simplifying
x = 4.333333333

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