11x+4=2(4x+1)-x+7

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Solution for 11x+4=2(4x+1)-x+7 equation:


Simplifying
11x + 4 = 2(4x + 1) + -1x + 7

Reorder the terms:
4 + 11x = 2(4x + 1) + -1x + 7

Reorder the terms:
4 + 11x = 2(1 + 4x) + -1x + 7
4 + 11x = (1 * 2 + 4x * 2) + -1x + 7
4 + 11x = (2 + 8x) + -1x + 7

Reorder the terms:
4 + 11x = 2 + 7 + 8x + -1x

Combine like terms: 2 + 7 = 9
4 + 11x = 9 + 8x + -1x

Combine like terms: 8x + -1x = 7x
4 + 11x = 9 + 7x

Solving
4 + 11x = 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.
4 + 11x + -7x = 9 + 7x + -7x

Combine like terms: 11x + -7x = 4x
4 + 4x = 9 + 7x + -7x

Combine like terms: 7x + -7x = 0
4 + 4x = 9 + 0
4 + 4x = 9

Add '-4' to each side of the equation.
4 + -4 + 4x = 9 + -4

Combine like terms: 4 + -4 = 0
0 + 4x = 9 + -4
4x = 9 + -4

Combine like terms: 9 + -4 = 5
4x = 5

Divide each side by '4'.
x = 1.25

Simplifying
x = 1.25

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