3(2x+1)+4=7x+2

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Solution for 3(2x+1)+4=7x+2 equation:


Simplifying
3(2x + 1) + 4 = 7x + 2

Reorder the terms:
3(1 + 2x) + 4 = 7x + 2
(1 * 3 + 2x * 3) + 4 = 7x + 2
(3 + 6x) + 4 = 7x + 2

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

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

Reorder the terms:
7 + 6x = 2 + 7x

Solving
7 + 6x = 2 + 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.
7 + 6x + -7x = 2 + 7x + -7x

Combine like terms: 6x + -7x = -1x
7 + -1x = 2 + 7x + -7x

Combine like terms: 7x + -7x = 0
7 + -1x = 2 + 0
7 + -1x = 2

Add '-7' to each side of the equation.
7 + -7 + -1x = 2 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 2 + -7
-1x = 2 + -7

Combine like terms: 2 + -7 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5

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