3x-8=7(x+4)

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


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

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

Reorder the terms:
-8 + 3x = 7(4 + x)
-8 + 3x = (4 * 7 + x * 7)
-8 + 3x = (28 + 7x)

Solving
-8 + 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.
-8 + 3x + -7x = 28 + 7x + -7x

Combine like terms: 3x + -7x = -4x
-8 + -4x = 28 + 7x + -7x

Combine like terms: 7x + -7x = 0
-8 + -4x = 28 + 0
-8 + -4x = 28

Add '8' to each side of the equation.
-8 + 8 + -4x = 28 + 8

Combine like terms: -8 + 8 = 0
0 + -4x = 28 + 8
-4x = 28 + 8

Combine like terms: 28 + 8 = 36
-4x = 36

Divide each side by '-4'.
x = -9

Simplifying
x = -9

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