3x-4=x-7

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


Simplifying
3x + -4 = x + -7

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

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

Solving
-4 + 3x = -7 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-4 + 3x + -1x = -7 + x + -1x

Combine like terms: 3x + -1x = 2x
-4 + 2x = -7 + x + -1x

Combine like terms: x + -1x = 0
-4 + 2x = -7 + 0
-4 + 2x = -7

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

Combine like terms: -4 + 4 = 0
0 + 2x = -7 + 4
2x = -7 + 4

Combine like terms: -7 + 4 = -3
2x = -3

Divide each side by '2'.
x = -1.5

Simplifying
x = -1.5

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