6x-5=7(x-2)

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Solution for 6x-5=7(x-2) equation:


Simplifying
6x + -5 = 7(x + -2)

Reorder the terms:
-5 + 6x = 7(x + -2)

Reorder the terms:
-5 + 6x = 7(-2 + x)
-5 + 6x = (-2 * 7 + x * 7)
-5 + 6x = (-14 + 7x)

Solving
-5 + 6x = -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.
-5 + 6x + -7x = -14 + 7x + -7x

Combine like terms: 6x + -7x = -1x
-5 + -1x = -14 + 7x + -7x

Combine like terms: 7x + -7x = 0
-5 + -1x = -14 + 0
-5 + -1x = -14

Add '5' to each side of the equation.
-5 + 5 + -1x = -14 + 5

Combine like terms: -5 + 5 = 0
0 + -1x = -14 + 5
-1x = -14 + 5

Combine like terms: -14 + 5 = -9
-1x = -9

Divide each side by '-1'.
x = 9

Simplifying
x = 9

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