(7x-6)=(3x-8)

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Solution for (7x-6)=(3x-8) equation:


Simplifying
(7x + -6) = (3x + -8)

Reorder the terms:
(-6 + 7x) = (3x + -8)

Remove parenthesis around (-6 + 7x)
-6 + 7x = (3x + -8)

Reorder the terms:
-6 + 7x = (-8 + 3x)

Remove parenthesis around (-8 + 3x)
-6 + 7x = -8 + 3x

Solving
-6 + 7x = -8 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-6 + 7x + -3x = -8 + 3x + -3x

Combine like terms: 7x + -3x = 4x
-6 + 4x = -8 + 3x + -3x

Combine like terms: 3x + -3x = 0
-6 + 4x = -8 + 0
-6 + 4x = -8

Add '6' to each side of the equation.
-6 + 6 + 4x = -8 + 6

Combine like terms: -6 + 6 = 0
0 + 4x = -8 + 6
4x = -8 + 6

Combine like terms: -8 + 6 = -2
4x = -2

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

Simplifying
x = -0.5

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