9x+2=4(2x+1)+6

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Solution for 9x+2=4(2x+1)+6 equation:


Simplifying
9x + 2 = 4(2x + 1) + 6

Reorder the terms:
2 + 9x = 4(2x + 1) + 6

Reorder the terms:
2 + 9x = 4(1 + 2x) + 6
2 + 9x = (1 * 4 + 2x * 4) + 6
2 + 9x = (4 + 8x) + 6

Reorder the terms:
2 + 9x = 4 + 6 + 8x

Combine like terms: 4 + 6 = 10
2 + 9x = 10 + 8x

Solving
2 + 9x = 10 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
2 + 9x + -8x = 10 + 8x + -8x

Combine like terms: 9x + -8x = 1x
2 + 1x = 10 + 8x + -8x

Combine like terms: 8x + -8x = 0
2 + 1x = 10 + 0
2 + 1x = 10

Add '-2' to each side of the equation.
2 + -2 + 1x = 10 + -2

Combine like terms: 2 + -2 = 0
0 + 1x = 10 + -2
1x = 10 + -2

Combine like terms: 10 + -2 = 8
1x = 8

Divide each side by '1'.
x = 8

Simplifying
x = 8

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