2x-9+16x+5=2(x+6)-(-3)+x

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Solution for 2x-9+16x+5=2(x+6)-(-3)+x equation:


Simplifying
2x + -9 + 16x + 5 = 2(x + 6) + -1(-3) + x

Reorder the terms:
-9 + 5 + 2x + 16x = 2(x + 6) + -1(-3) + x

Combine like terms: -9 + 5 = -4
-4 + 2x + 16x = 2(x + 6) + -1(-3) + x

Combine like terms: 2x + 16x = 18x
-4 + 18x = 2(x + 6) + -1(-3) + x

Reorder the terms:
-4 + 18x = 2(6 + x) + -1(-3) + x
-4 + 18x = (6 * 2 + x * 2) + -1(-3) + x
-4 + 18x = (12 + 2x) + -1(-3) + x

Multiply -1 * -3
-4 + 18x = 12 + 2x + 3 + x

Reorder the terms:
-4 + 18x = 12 + 3 + 2x + x

Combine like terms: 12 + 3 = 15
-4 + 18x = 15 + 2x + x

Combine like terms: 2x + x = 3x
-4 + 18x = 15 + 3x

Solving
-4 + 18x = 15 + 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 + 18x + -3x = 15 + 3x + -3x

Combine like terms: 18x + -3x = 15x
-4 + 15x = 15 + 3x + -3x

Combine like terms: 3x + -3x = 0
-4 + 15x = 15 + 0
-4 + 15x = 15

Add '4' to each side of the equation.
-4 + 4 + 15x = 15 + 4

Combine like terms: -4 + 4 = 0
0 + 15x = 15 + 4
15x = 15 + 4

Combine like terms: 15 + 4 = 19
15x = 19

Divide each side by '15'.
x = 1.266666667

Simplifying
x = 1.266666667

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