7x-3(x+8)=2x+4

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Solution for 7x-3(x+8)=2x+4 equation:


Simplifying
7x + -3(x + 8) = 2x + 4

Reorder the terms:
7x + -3(8 + x) = 2x + 4
7x + (8 * -3 + x * -3) = 2x + 4
7x + (-24 + -3x) = 2x + 4

Reorder the terms:
-24 + 7x + -3x = 2x + 4

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

Reorder the terms:
-24 + 4x = 4 + 2x

Solving
-24 + 4x = 4 + 2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

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

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

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

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

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

Combine like terms: 4 + 24 = 28
2x = 28

Divide each side by '2'.
x = 14

Simplifying
x = 14

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