3(x+8)=7(x+4)

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Solution for 3(x+8)=7(x+4) equation:


Simplifying
3(x + 8) = 7(x + 4)

Reorder the terms:
3(8 + x) = 7(x + 4)
(8 * 3 + x * 3) = 7(x + 4)
(24 + 3x) = 7(x + 4)

Reorder the terms:
24 + 3x = 7(4 + x)
24 + 3x = (4 * 7 + x * 7)
24 + 3x = (28 + 7x)

Solving
24 + 3x = 28 + 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 = 28 + 7x + -7x

Combine like terms: 3x + -7x = -4x
24 + -4x = 28 + 7x + -7x

Combine like terms: 7x + -7x = 0
24 + -4x = 28 + 0
24 + -4x = 28

Add '-24' to each side of the equation.
24 + -24 + -4x = 28 + -24

Combine like terms: 24 + -24 = 0
0 + -4x = 28 + -24
-4x = 28 + -24

Combine like terms: 28 + -24 = 4
-4x = 4

Divide each side by '-4'.
x = -1

Simplifying
x = -1

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