4x-6=7x-14

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Solution for 4x-6=7x-14 equation:


Simplifying
4x + -6 = 7x + -14

Reorder the terms:
-6 + 4x = 7x + -14

Reorder the terms:
-6 + 4x = -14 + 7x

Solving
-6 + 4x = -14 + 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.
-6 + 4x + -7x = -14 + 7x + -7x

Combine like terms: 4x + -7x = -3x
-6 + -3x = -14 + 7x + -7x

Combine like terms: 7x + -7x = 0
-6 + -3x = -14 + 0
-6 + -3x = -14

Add '6' to each side of the equation.
-6 + 6 + -3x = -14 + 6

Combine like terms: -6 + 6 = 0
0 + -3x = -14 + 6
-3x = -14 + 6

Combine like terms: -14 + 6 = -8
-3x = -8

Divide each side by '-3'.
x = 2.666666667

Simplifying
x = 2.666666667

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