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

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


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

Reorder the terms:
8(-2 + 3x) = 7(x + 3) + -3
(-2 * 8 + 3x * 8) = 7(x + 3) + -3
(-16 + 24x) = 7(x + 3) + -3

Reorder the terms:
-16 + 24x = 7(3 + x) + -3
-16 + 24x = (3 * 7 + x * 7) + -3
-16 + 24x = (21 + 7x) + -3

Reorder the terms:
-16 + 24x = 21 + -3 + 7x

Combine like terms: 21 + -3 = 18
-16 + 24x = 18 + 7x

Solving
-16 + 24x = 18 + 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.
-16 + 24x + -7x = 18 + 7x + -7x

Combine like terms: 24x + -7x = 17x
-16 + 17x = 18 + 7x + -7x

Combine like terms: 7x + -7x = 0
-16 + 17x = 18 + 0
-16 + 17x = 18

Add '16' to each side of the equation.
-16 + 16 + 17x = 18 + 16

Combine like terms: -16 + 16 = 0
0 + 17x = 18 + 16
17x = 18 + 16

Combine like terms: 18 + 16 = 34
17x = 34

Divide each side by '17'.
x = 2

Simplifying
x = 2

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