8x+3=2(4x+1)-x+7

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Solution for 8x+3=2(4x+1)-x+7 equation:


Simplifying
8x + 3 = 2(4x + 1) + -1x + 7

Reorder the terms:
3 + 8x = 2(4x + 1) + -1x + 7

Reorder the terms:
3 + 8x = 2(1 + 4x) + -1x + 7
3 + 8x = (1 * 2 + 4x * 2) + -1x + 7
3 + 8x = (2 + 8x) + -1x + 7

Reorder the terms:
3 + 8x = 2 + 7 + 8x + -1x

Combine like terms: 2 + 7 = 9
3 + 8x = 9 + 8x + -1x

Combine like terms: 8x + -1x = 7x
3 + 8x = 9 + 7x

Solving
3 + 8x = 9 + 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.
3 + 8x + -7x = 9 + 7x + -7x

Combine like terms: 8x + -7x = 1x
3 + 1x = 9 + 7x + -7x

Combine like terms: 7x + -7x = 0
3 + 1x = 9 + 0
3 + 1x = 9

Add '-3' to each side of the equation.
3 + -3 + 1x = 9 + -3

Combine like terms: 3 + -3 = 0
0 + 1x = 9 + -3
1x = 9 + -3

Combine like terms: 9 + -3 = 6
1x = 6

Divide each side by '1'.
x = 6

Simplifying
x = 6

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