7x-(4x+16)=9-(6x-3)

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Solution for 7x-(4x+16)=9-(6x-3) equation:


Simplifying
7x + -1(4x + 16) = 9 + -1(6x + -3)

Reorder the terms:
7x + -1(16 + 4x) = 9 + -1(6x + -3)
7x + (16 * -1 + 4x * -1) = 9 + -1(6x + -3)
7x + (-16 + -4x) = 9 + -1(6x + -3)

Reorder the terms:
-16 + 7x + -4x = 9 + -1(6x + -3)

Combine like terms: 7x + -4x = 3x
-16 + 3x = 9 + -1(6x + -3)

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

Combine like terms: 9 + 3 = 12
-16 + 3x = 12 + -6x

Solving
-16 + 3x = 12 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-16 + 3x + 6x = 12 + -6x + 6x

Combine like terms: 3x + 6x = 9x
-16 + 9x = 12 + -6x + 6x

Combine like terms: -6x + 6x = 0
-16 + 9x = 12 + 0
-16 + 9x = 12

Add '16' to each side of the equation.
-16 + 16 + 9x = 12 + 16

Combine like terms: -16 + 16 = 0
0 + 9x = 12 + 16
9x = 12 + 16

Combine like terms: 12 + 16 = 28
9x = 28

Divide each side by '9'.
x = 3.111111111

Simplifying
x = 3.111111111

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