3(x+8)=7x-2

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


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

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

Reorder the terms:
24 + 3x = -2 + 7x

Solving
24 + 3x = -2 + 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 + 3x + -7x = -2 + 7x + -7x

Combine like terms: 3x + -7x = -4x
24 + -4x = -2 + 7x + -7x

Combine like terms: 7x + -7x = 0
24 + -4x = -2 + 0
24 + -4x = -2

Add '-24' to each side of the equation.
24 + -24 + -4x = -2 + -24

Combine like terms: 24 + -24 = 0
0 + -4x = -2 + -24
-4x = -2 + -24

Combine like terms: -2 + -24 = -26
-4x = -26

Divide each side by '-4'.
x = 6.5

Simplifying
x = 6.5

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