3(2x+4)=2(x+2+78)

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Solution for 3(2x+4)=2(x+2+78) equation:


Simplifying
3(2x + 4) = 2(x + 2 + 78)

Reorder the terms:
3(4 + 2x) = 2(x + 2 + 78)
(4 * 3 + 2x * 3) = 2(x + 2 + 78)
(12 + 6x) = 2(x + 2 + 78)

Reorder the terms:
12 + 6x = 2(2 + 78 + x)

Combine like terms: 2 + 78 = 80
12 + 6x = 2(80 + x)
12 + 6x = (80 * 2 + x * 2)
12 + 6x = (160 + 2x)

Solving
12 + 6x = 160 + 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.
12 + 6x + -2x = 160 + 2x + -2x

Combine like terms: 6x + -2x = 4x
12 + 4x = 160 + 2x + -2x

Combine like terms: 2x + -2x = 0
12 + 4x = 160 + 0
12 + 4x = 160

Add '-12' to each side of the equation.
12 + -12 + 4x = 160 + -12

Combine like terms: 12 + -12 = 0
0 + 4x = 160 + -12
4x = 160 + -12

Combine like terms: 160 + -12 = 148
4x = 148

Divide each side by '4'.
x = 37

Simplifying
x = 37

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