8(x-4)-(x-1)=-3

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Solution for 8(x-4)-(x-1)=-3 equation:


Simplifying
8(x + -4) + -1(x + -1) = -3

Reorder the terms:
8(-4 + x) + -1(x + -1) = -3
(-4 * 8 + x * 8) + -1(x + -1) = -3
(-32 + 8x) + -1(x + -1) = -3

Reorder the terms:
-32 + 8x + -1(-1 + x) = -3
-32 + 8x + (-1 * -1 + x * -1) = -3
-32 + 8x + (1 + -1x) = -3

Reorder the terms:
-32 + 1 + 8x + -1x = -3

Combine like terms: -32 + 1 = -31
-31 + 8x + -1x = -3

Combine like terms: 8x + -1x = 7x
-31 + 7x = -3

Solving
-31 + 7x = -3

Solving for variable 'x'.

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

Add '31' to each side of the equation.
-31 + 31 + 7x = -3 + 31

Combine like terms: -31 + 31 = 0
0 + 7x = -3 + 31
7x = -3 + 31

Combine like terms: -3 + 31 = 28
7x = 28

Divide each side by '7'.
x = 4

Simplifying
x = 4

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