2(4x+1)=6x+10

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Solution for 2(4x+1)=6x+10 equation:


Simplifying
2(4x + 1) = 6x + 10

Reorder the terms:
2(1 + 4x) = 6x + 10
(1 * 2 + 4x * 2) = 6x + 10
(2 + 8x) = 6x + 10

Reorder the terms:
2 + 8x = 10 + 6x

Solving
2 + 8x = 10 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
2 + 8x + -6x = 10 + 6x + -6x

Combine like terms: 8x + -6x = 2x
2 + 2x = 10 + 6x + -6x

Combine like terms: 6x + -6x = 0
2 + 2x = 10 + 0
2 + 2x = 10

Add '-2' to each side of the equation.
2 + -2 + 2x = 10 + -2

Combine like terms: 2 + -2 = 0
0 + 2x = 10 + -2
2x = 10 + -2

Combine like terms: 10 + -2 = 8
2x = 8

Divide each side by '2'.
x = 4

Simplifying
x = 4

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