3x-7=4x-6

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Solution for 3x-7=4x-6 equation:


Simplifying
3x + -7 = 4x + -6

Reorder the terms:
-7 + 3x = 4x + -6

Reorder the terms:
-7 + 3x = -6 + 4x

Solving
-7 + 3x = -6 + 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.
-7 + 3x + -4x = -6 + 4x + -4x

Combine like terms: 3x + -4x = -1x
-7 + -1x = -6 + 4x + -4x

Combine like terms: 4x + -4x = 0
-7 + -1x = -6 + 0
-7 + -1x = -6

Add '7' to each side of the equation.
-7 + 7 + -1x = -6 + 7

Combine like terms: -7 + 7 = 0
0 + -1x = -6 + 7
-1x = -6 + 7

Combine like terms: -6 + 7 = 1
-1x = 1

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

Simplifying
x = -1

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