2(2x+6)=7x+4

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Solution for 2(2x+6)=7x+4 equation: 


Simplifying
2(2x + 6) = 7x + 4

Reorder the terms:
2(6 + 2x) = 7x + 4
(6 * 2 + 2x * 2) = 7x + 4
(12 + 4x) = 7x + 4

Reorder the terms:
12 + 4x = 4 + 7x

Solving
12 + 4x = 4 + 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.
12 + 4x + -7x = 4 + 7x + -7x

Combine like terms: 4x + -7x = -3x
12 + -3x = 4 + 7x + -7x

Combine like terms: 7x + -7x = 0
12 + -3x = 4 + 0
12 + -3x = 4

Add '-12' to each side of the equation.
12 + -12 + -3x = 4 + -12

Combine like terms: 12 + -12 = 0
0 + -3x = 4 + -12
-3x = 4 + -12

Combine like terms: 4 + -12 = -8
-3x = -8

Divide each side by '-3'.
x = 2.666666667

Simplifying
x = 2.666666667

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