7(x-8)=3(x+68)

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Solution for 7(x-8)=3(x+68) equation:


Simplifying
7(x + -8) = 3(x + 68)

Reorder the terms:
7(-8 + x) = 3(x + 68)
(-8 * 7 + x * 7) = 3(x + 68)
(-56 + 7x) = 3(x + 68)

Reorder the terms:
-56 + 7x = 3(68 + x)
-56 + 7x = (68 * 3 + x * 3)
-56 + 7x = (204 + 3x)

Solving
-56 + 7x = 204 + 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 = 204 + 3x + -3x

Combine like terms: 7x + -3x = 4x
-56 + 4x = 204 + 3x + -3x

Combine like terms: 3x + -3x = 0
-56 + 4x = 204 + 0
-56 + 4x = 204

Add '56' to each side of the equation.
-56 + 56 + 4x = 204 + 56

Combine like terms: -56 + 56 = 0
0 + 4x = 204 + 56
4x = 204 + 56

Combine like terms: 204 + 56 = 260
4x = 260

Divide each side by '4'.
x = 65

Simplifying
x = 65

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