(8x-3)-(x+4)=42

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Solution for (8x-3)-(x+4)=42 equation:


Simplifying
(8x + -3) + -1(x + 4) = 42

Reorder the terms:
(-3 + 8x) + -1(x + 4) = 42

Remove parenthesis around (-3 + 8x)
-3 + 8x + -1(x + 4) = 42

Reorder the terms:
-3 + 8x + -1(4 + x) = 42
-3 + 8x + (4 * -1 + x * -1) = 42
-3 + 8x + (-4 + -1x) = 42

Reorder the terms:
-3 + -4 + 8x + -1x = 42

Combine like terms: -3 + -4 = -7
-7 + 8x + -1x = 42

Combine like terms: 8x + -1x = 7x
-7 + 7x = 42

Solving
-7 + 7x = 42

Solving for variable 'x'.

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

Add '7' to each side of the equation.
-7 + 7 + 7x = 42 + 7

Combine like terms: -7 + 7 = 0
0 + 7x = 42 + 7
7x = 42 + 7

Combine like terms: 42 + 7 = 49
7x = 49

Divide each side by '7'.
x = 7

Simplifying
x = 7

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