3x-4=7x-2

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Solution for 3x-4=7x-2 equation:


Simplifying
3x + -4 = 7x + -2

Reorder the terms:
-4 + 3x = 7x + -2

Reorder the terms:
-4 + 3x = -2 + 7x

Solving
-4 + 3x = -2 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-4 + 3x + -7x = -2 + 7x + -7x

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

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

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

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

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

Divide each side by '-4'.
x = -0.5

Simplifying
x = -0.5

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