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

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


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

Reorder the terms:
7(-2 + x) = 3(x + 6)
(-2 * 7 + x * 7) = 3(x + 6)
(-14 + 7x) = 3(x + 6)

Reorder the terms:
-14 + 7x = 3(6 + x)
-14 + 7x = (6 * 3 + x * 3)
-14 + 7x = (18 + 3x)

Solving
-14 + 7x = 18 + 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.
-14 + 7x + -3x = 18 + 3x + -3x

Combine like terms: 7x + -3x = 4x
-14 + 4x = 18 + 3x + -3x

Combine like terms: 3x + -3x = 0
-14 + 4x = 18 + 0
-14 + 4x = 18

Add '14' to each side of the equation.
-14 + 14 + 4x = 18 + 14

Combine like terms: -14 + 14 = 0
0 + 4x = 18 + 14
4x = 18 + 14

Combine like terms: 18 + 14 = 32
4x = 32

Divide each side by '4'.
x = 8

Simplifying
x = 8

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