7(x-6)=8x-43

Solution for 7(x-6)=8x-43 equation:

Simplifying
7(x + -6) = 8x + -43

Reorder the terms:
7(-6 + x) = 8x + -43
(-6 * 7 + x * 7) = 8x + -43
(-42 + 7x) = 8x + -43

Reorder the terms:
-42 + 7x = -43 + 8x

Solving
-42 + 7x = -43 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-42 + 7x + -8x = -43 + 8x + -8x

Combine like terms: 7x + -8x = -1x
-42 + -1x = -43 + 8x + -8x

Combine like terms: 8x + -8x = 0
-42 + -1x = -43 + 0
-42 + -1x = -43

Add '42' to each side of the equation.
-42 + 42 + -1x = -43 + 42

Combine like terms: -42 + 42 = 0
0 + -1x = -43 + 42
-1x = -43 + 42

Combine like terms: -43 + 42 = -1
-1x = -1

Divide each side by '-1'.
x = 1

Simplifying
x = 1