(7x-6)-2(x-4)=18

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Solution for (7x-6)-2(x-4)=18 equation:


Simplifying
(7x + -6) + -2(x + -4) = 18

Reorder the terms:
(-6 + 7x) + -2(x + -4) = 18

Remove parenthesis around (-6 + 7x)
-6 + 7x + -2(x + -4) = 18

Reorder the terms:
-6 + 7x + -2(-4 + x) = 18
-6 + 7x + (-4 * -2 + x * -2) = 18
-6 + 7x + (8 + -2x) = 18

Reorder the terms:
-6 + 8 + 7x + -2x = 18

Combine like terms: -6 + 8 = 2
2 + 7x + -2x = 18

Combine like terms: 7x + -2x = 5x
2 + 5x = 18

Solving
2 + 5x = 18

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + 5x = 18 + -2

Combine like terms: 2 + -2 = 0
0 + 5x = 18 + -2
5x = 18 + -2

Combine like terms: 18 + -2 = 16
5x = 16

Divide each side by '5'.
x = 3.2

Simplifying
x = 3.2

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