8(x-3)-(7x-5)=5

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Solution for 8(x-3)-(7x-5)=5 equation:


Simplifying
8(x + -3) + -1(7x + -5) = 5

Reorder the terms:
8(-3 + x) + -1(7x + -5) = 5
(-3 * 8 + x * 8) + -1(7x + -5) = 5
(-24 + 8x) + -1(7x + -5) = 5

Reorder the terms:
-24 + 8x + -1(-5 + 7x) = 5
-24 + 8x + (-5 * -1 + 7x * -1) = 5
-24 + 8x + (5 + -7x) = 5

Reorder the terms:
-24 + 5 + 8x + -7x = 5

Combine like terms: -24 + 5 = -19
-19 + 8x + -7x = 5

Combine like terms: 8x + -7x = 1x
-19 + 1x = 5

Solving
-19 + 1x = 5

Solving for variable 'x'.

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

Add '19' to each side of the equation.
-19 + 19 + 1x = 5 + 19

Combine like terms: -19 + 19 = 0
0 + 1x = 5 + 19
1x = 5 + 19

Combine like terms: 5 + 19 = 24
1x = 24

Divide each side by '1'.
x = 24

Simplifying
x = 24

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