11x+3=2(4x+1)-x+6

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Solution for 11x+3=2(4x+1)-x+6 equation:


Simplifying
11x + 3 = 2(4x + 1) + -1x + 6

Reorder the terms:
3 + 11x = 2(4x + 1) + -1x + 6

Reorder the terms:
3 + 11x = 2(1 + 4x) + -1x + 6
3 + 11x = (1 * 2 + 4x * 2) + -1x + 6
3 + 11x = (2 + 8x) + -1x + 6

Reorder the terms:
3 + 11x = 2 + 6 + 8x + -1x

Combine like terms: 2 + 6 = 8
3 + 11x = 8 + 8x + -1x

Combine like terms: 8x + -1x = 7x
3 + 11x = 8 + 7x

Solving
3 + 11x = 8 + 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 + 11x + -7x = 8 + 7x + -7x

Combine like terms: 11x + -7x = 4x
3 + 4x = 8 + 7x + -7x

Combine like terms: 7x + -7x = 0
3 + 4x = 8 + 0
3 + 4x = 8

Add '-3' to each side of the equation.
3 + -3 + 4x = 8 + -3

Combine like terms: 3 + -3 = 0
0 + 4x = 8 + -3
4x = 8 + -3

Combine like terms: 8 + -3 = 5
4x = 5

Divide each side by '4'.
x = 1.25

Simplifying
x = 1.25

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