-8(x-3)=-7(x-2)

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Solution for -8(x-3)=-7(x-2) equation:


Simplifying
-8(x + -3) = -7(x + -2)

Reorder the terms:
-8(-3 + x) = -7(x + -2)
(-3 * -8 + x * -8) = -7(x + -2)
(24 + -8x) = -7(x + -2)

Reorder the terms:
24 + -8x = -7(-2 + x)
24 + -8x = (-2 * -7 + x * -7)
24 + -8x = (14 + -7x)

Solving
24 + -8x = 14 + -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 = 14 + -7x + 7x

Combine like terms: -8x + 7x = -1x
24 + -1x = 14 + -7x + 7x

Combine like terms: -7x + 7x = 0
24 + -1x = 14 + 0
24 + -1x = 14

Add '-24' to each side of the equation.
24 + -24 + -1x = 14 + -24

Combine like terms: 24 + -24 = 0
0 + -1x = 14 + -24
-1x = 14 + -24

Combine like terms: 14 + -24 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10

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