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

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


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

Reorder the terms:
7(-8 + x) = 3(x + 3) + 3
(-8 * 7 + x * 7) = 3(x + 3) + 3
(-56 + 7x) = 3(x + 3) + 3

Reorder the terms:
-56 + 7x = 3(3 + x) + 3
-56 + 7x = (3 * 3 + x * 3) + 3
-56 + 7x = (9 + 3x) + 3

Reorder the terms:
-56 + 7x = 9 + 3 + 3x

Combine like terms: 9 + 3 = 12
-56 + 7x = 12 + 3x

Solving
-56 + 7x = 12 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-56 + 7x + -3x = 12 + 3x + -3x

Combine like terms: 7x + -3x = 4x
-56 + 4x = 12 + 3x + -3x

Combine like terms: 3x + -3x = 0
-56 + 4x = 12 + 0
-56 + 4x = 12

Add '56' to each side of the equation.
-56 + 56 + 4x = 12 + 56

Combine like terms: -56 + 56 = 0
0 + 4x = 12 + 56
4x = 12 + 56

Combine like terms: 12 + 56 = 68
4x = 68

Divide each side by '4'.
x = 17

Simplifying
x = 17

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