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

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


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

Reorder the terms:
2(1 + 4x) = 7(x + 2)
(1 * 2 + 4x * 2) = 7(x + 2)
(2 + 8x) = 7(x + 2)

Reorder the terms:
2 + 8x = 7(2 + x)
2 + 8x = (2 * 7 + x * 7)
2 + 8x = (14 + 7x)

Solving
2 + 8x = 14 + 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.
2 + 8x + -7x = 14 + 7x + -7x

Combine like terms: 8x + -7x = 1x
2 + 1x = 14 + 7x + -7x

Combine like terms: 7x + -7x = 0
2 + 1x = 14 + 0
2 + 1x = 14

Add '-2' to each side of the equation.
2 + -2 + 1x = 14 + -2

Combine like terms: 2 + -2 = 0
0 + 1x = 14 + -2
1x = 14 + -2

Combine like terms: 14 + -2 = 12
1x = 12

Divide each side by '1'.
x = 12

Simplifying
x = 12

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