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

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Solution for 8(x-3)=7(x+1) equation:


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

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

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

Solving
-24 + 8x = 7 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-24 + 8x + -7x = 7 + 7x + -7x

Combine like terms: 8x + -7x = 1x
-24 + 1x = 7 + 7x + -7x

Combine like terms: 7x + -7x = 0
-24 + 1x = 7 + 0
-24 + 1x = 7

Add '24' to each side of the equation.
-24 + 24 + 1x = 7 + 24

Combine like terms: -24 + 24 = 0
0 + 1x = 7 + 24
1x = 7 + 24

Combine like terms: 7 + 24 = 31
1x = 31

Divide each side by '1'.
x = 31

Simplifying
x = 31

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