4(2x+1)=9-3x+7

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Solution for 4(2x+1)=9-3x+7 equation:


Simplifying
4(2x + 1) = 9 + -3x + 7

Reorder the terms:
4(1 + 2x) = 9 + -3x + 7
(1 * 4 + 2x * 4) = 9 + -3x + 7
(4 + 8x) = 9 + -3x + 7

Reorder the terms:
4 + 8x = 9 + 7 + -3x

Combine like terms: 9 + 7 = 16
4 + 8x = 16 + -3x

Solving
4 + 8x = 16 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
4 + 8x + 3x = 16 + -3x + 3x

Combine like terms: 8x + 3x = 11x
4 + 11x = 16 + -3x + 3x

Combine like terms: -3x + 3x = 0
4 + 11x = 16 + 0
4 + 11x = 16

Add '-4' to each side of the equation.
4 + -4 + 11x = 16 + -4

Combine like terms: 4 + -4 = 0
0 + 11x = 16 + -4
11x = 16 + -4

Combine like terms: 16 + -4 = 12
11x = 12

Divide each side by '11'.
x = 1.090909091

Simplifying
x = 1.090909091

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