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

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


Simplifying
4(x + -2) + -1(x + -6) = 7

Reorder the terms:
4(-2 + x) + -1(x + -6) = 7
(-2 * 4 + x * 4) + -1(x + -6) = 7
(-8 + 4x) + -1(x + -6) = 7

Reorder the terms:
-8 + 4x + -1(-6 + x) = 7
-8 + 4x + (-6 * -1 + x * -1) = 7
-8 + 4x + (6 + -1x) = 7

Reorder the terms:
-8 + 6 + 4x + -1x = 7

Combine like terms: -8 + 6 = -2
-2 + 4x + -1x = 7

Combine like terms: 4x + -1x = 3x
-2 + 3x = 7

Solving
-2 + 3x = 7

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 + 3x = 7 + 2

Combine like terms: -2 + 2 = 0
0 + 3x = 7 + 2
3x = 7 + 2

Combine like terms: 7 + 2 = 9
3x = 9

Divide each side by '3'.
x = 3

Simplifying
x = 3

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