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

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


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

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

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

Reorder the terms:
3 + 11x = 4 + 6 + 8x + -1x

Combine like terms: 4 + 6 = 10
3 + 11x = 10 + 8x + -1x

Combine like terms: 8x + -1x = 7x
3 + 11x = 10 + 7x

Solving
3 + 11x = 10 + 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 = 10 + 7x + -7x

Combine like terms: 11x + -7x = 4x
3 + 4x = 10 + 7x + -7x

Combine like terms: 7x + -7x = 0
3 + 4x = 10 + 0
3 + 4x = 10

Add '-3' to each side of the equation.
3 + -3 + 4x = 10 + -3

Combine like terms: 3 + -3 = 0
0 + 4x = 10 + -3
4x = 10 + -3

Combine like terms: 10 + -3 = 7
4x = 7

Divide each side by '4'.
x = 1.75

Simplifying
x = 1.75

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