6(3)=7(x-2)

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Solution for 6(3)=7(x-2) equation:


Simplifying
6(3) = 7(x + -2)

Multiply 6 * 3
18 = 7(x + -2)

Reorder the terms:
18 = 7(-2 + x)
18 = (-2 * 7 + x * 7)
18 = (-14 + 7x)

Solving
18 = -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.
18 + -7x = -14 + 7x + -7x

Combine like terms: 7x + -7x = 0
18 + -7x = -14 + 0
18 + -7x = -14

Add '-18' to each side of the equation.
18 + -18 + -7x = -14 + -18

Combine like terms: 18 + -18 = 0
0 + -7x = -14 + -18
-7x = -14 + -18

Combine like terms: -14 + -18 = -32
-7x = -32

Divide each side by '-7'.
x = 4.571428571

Simplifying
x = 4.571428571

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