8(x-3)-(x-3)=7

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Solution for 8(x-3)-(x-3)=7 equation:


Simplifying
8(x + -3) + -1(x + -3) = 7

Reorder the terms:
8(-3 + x) + -1(x + -3) = 7
(-3 * 8 + x * 8) + -1(x + -3) = 7
(-24 + 8x) + -1(x + -3) = 7

Reorder the terms:
-24 + 8x + -1(-3 + x) = 7
-24 + 8x + (-3 * -1 + x * -1) = 7
-24 + 8x + (3 + -1x) = 7

Reorder the terms:
-24 + 3 + 8x + -1x = 7

Combine like terms: -24 + 3 = -21
-21 + 8x + -1x = 7

Combine like terms: 8x + -1x = 7x
-21 + 7x = 7

Solving
-21 + 7x = 7

Solving for variable 'x'.

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

Add '21' to each side of the equation.
-21 + 21 + 7x = 7 + 21

Combine like terms: -21 + 21 = 0
0 + 7x = 7 + 21
7x = 7 + 21

Combine like terms: 7 + 21 = 28
7x = 28

Divide each side by '7'.
x = 4

Simplifying
x = 4

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