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

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


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

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

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

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

Solving
-8 + 7x = 28 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-8 + 7x + -4x = 28 + 4x + -4x

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

Combine like terms: 4x + -4x = 0
-8 + 3x = 28 + 0
-8 + 3x = 28

Add '8' to each side of the equation.
-8 + 8 + 3x = 28 + 8

Combine like terms: -8 + 8 = 0
0 + 3x = 28 + 8
3x = 28 + 8

Combine like terms: 28 + 8 = 36
3x = 36

Divide each side by '3'.
x = 12

Simplifying
x = 12

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