4x+6=6x-7

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


Simplifying
4x + 6 = 6x + -7

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

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

Solving
6 + 4x = -7 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
6 + 4x + -6x = -7 + 6x + -6x

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

Combine like terms: 6x + -6x = 0
6 + -2x = -7 + 0
6 + -2x = -7

Add '-6' to each side of the equation.
6 + -6 + -2x = -7 + -6

Combine like terms: 6 + -6 = 0
0 + -2x = -7 + -6
-2x = -7 + -6

Combine like terms: -7 + -6 = -13
-2x = -13

Divide each side by '-2'.
x = 6.5

Simplifying
x = 6.5

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