4x+5-2x+6=3x-4

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Solution for 4x+5-2x+6=3x-4 equation:


Simplifying
4x + 5 + -2x + 6 = 3x + -4

Reorder the terms:
5 + 6 + 4x + -2x = 3x + -4

Combine like terms: 5 + 6 = 11
11 + 4x + -2x = 3x + -4

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

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

Solving
11 + 2x = -4 + 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.
11 + 2x + -3x = -4 + 3x + -3x

Combine like terms: 2x + -3x = -1x
11 + -1x = -4 + 3x + -3x

Combine like terms: 3x + -3x = 0
11 + -1x = -4 + 0
11 + -1x = -4

Add '-11' to each side of the equation.
11 + -11 + -1x = -4 + -11

Combine like terms: 11 + -11 = 0
0 + -1x = -4 + -11
-1x = -4 + -11

Combine like terms: -4 + -11 = -15
-1x = -15

Divide each side by '-1'.
x = 15

Simplifying
x = 15

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