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

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


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

Reorder the terms:
7x + -3(2 + x) = 2(x + 4)
7x + (2 * -3 + x * -3) = 2(x + 4)
7x + (-6 + -3x) = 2(x + 4)

Reorder the terms:
-6 + 7x + -3x = 2(x + 4)

Combine like terms: 7x + -3x = 4x
-6 + 4x = 2(x + 4)

Reorder the terms:
-6 + 4x = 2(4 + x)
-6 + 4x = (4 * 2 + x * 2)
-6 + 4x = (8 + 2x)

Solving
-6 + 4x = 8 + 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.
-6 + 4x + -2x = 8 + 2x + -2x

Combine like terms: 4x + -2x = 2x
-6 + 2x = 8 + 2x + -2x

Combine like terms: 2x + -2x = 0
-6 + 2x = 8 + 0
-6 + 2x = 8

Add '6' to each side of the equation.
-6 + 6 + 2x = 8 + 6

Combine like terms: -6 + 6 = 0
0 + 2x = 8 + 6
2x = 8 + 6

Combine like terms: 8 + 6 = 14
2x = 14

Divide each side by '2'.
x = 7

Simplifying
x = 7

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