7(x-9)-(6x-7)=-8

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Solution for 7(x-9)-(6x-7)=-8 equation:


Simplifying
7(x + -9) + -1(6x + -7) = -8

Reorder the terms:
7(-9 + x) + -1(6x + -7) = -8
(-9 * 7 + x * 7) + -1(6x + -7) = -8
(-63 + 7x) + -1(6x + -7) = -8

Reorder the terms:
-63 + 7x + -1(-7 + 6x) = -8
-63 + 7x + (-7 * -1 + 6x * -1) = -8
-63 + 7x + (7 + -6x) = -8

Reorder the terms:
-63 + 7 + 7x + -6x = -8

Combine like terms: -63 + 7 = -56
-56 + 7x + -6x = -8

Combine like terms: 7x + -6x = 1x
-56 + 1x = -8

Solving
-56 + 1x = -8

Solving for variable 'x'.

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

Add '56' to each side of the equation.
-56 + 56 + 1x = -8 + 56

Combine like terms: -56 + 56 = 0
0 + 1x = -8 + 56
1x = -8 + 56

Combine like terms: -8 + 56 = 48
1x = 48

Divide each side by '1'.
x = 48

Simplifying
x = 48

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