3x-2(x+4)=7(x+4)

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Solution for 3x-2(x+4)=7(x+4) equation:


Simplifying
3x + -2(x + 4) = 7(x + 4)

Reorder the terms:
3x + -2(4 + x) = 7(x + 4)
3x + (4 * -2 + x * -2) = 7(x + 4)
3x + (-8 + -2x) = 7(x + 4)

Reorder the terms:
-8 + 3x + -2x = 7(x + 4)

Combine like terms: 3x + -2x = 1x
-8 + 1x = 7(x + 4)

Reorder the terms:
-8 + 1x = 7(4 + x)
-8 + 1x = (4 * 7 + x * 7)
-8 + 1x = (28 + 7x)

Solving
-8 + 1x = 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 + 1x + -7x = 28 + 7x + -7x

Combine like terms: 1x + -7x = -6x
-8 + -6x = 28 + 7x + -7x

Combine like terms: 7x + -7x = 0
-8 + -6x = 28 + 0
-8 + -6x = 28

Add '8' to each side of the equation.
-8 + 8 + -6x = 28 + 8

Combine like terms: -8 + 8 = 0
0 + -6x = 28 + 8
-6x = 28 + 8

Combine like terms: 28 + 8 = 36
-6x = 36

Divide each side by '-6'.
x = -6

Simplifying
x = -6

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