5-2x+6=4x-7

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Solution for 5-2x+6=4x-7 equation:


Simplifying
5 + -2x + 6 = 4x + -7

Reorder the terms:
5 + 6 + -2x = 4x + -7

Combine like terms: 5 + 6 = 11
11 + -2x = 4x + -7

Reorder the terms:
11 + -2x = -7 + 4x

Solving
11 + -2x = -7 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
11 + -2x + -4x = -7 + 4x + -4x

Combine like terms: -2x + -4x = -6x
11 + -6x = -7 + 4x + -4x

Combine like terms: 4x + -4x = 0
11 + -6x = -7 + 0
11 + -6x = -7

Add '-11' to each side of the equation.
11 + -11 + -6x = -7 + -11

Combine like terms: 11 + -11 = 0
0 + -6x = -7 + -11
-6x = -7 + -11

Combine like terms: -7 + -11 = -18
-6x = -18

Divide each side by '-6'.
x = 3

Simplifying
x = 3

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