7x-(16-3x)=9x-13

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Solution for 7x-(16-3x)=9x-13 equation:


Simplifying
7x + -1(16 + -3x) = 9x + -13
7x + (16 * -1 + -3x * -1) = 9x + -13
7x + (-16 + 3x) = 9x + -13

Reorder the terms:
-16 + 7x + 3x = 9x + -13

Combine like terms: 7x + 3x = 10x
-16 + 10x = 9x + -13

Reorder the terms:
-16 + 10x = -13 + 9x

Solving
-16 + 10x = -13 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-16 + 10x + -9x = -13 + 9x + -9x

Combine like terms: 10x + -9x = 1x
-16 + 1x = -13 + 9x + -9x

Combine like terms: 9x + -9x = 0
-16 + 1x = -13 + 0
-16 + 1x = -13

Add '16' to each side of the equation.
-16 + 16 + 1x = -13 + 16

Combine like terms: -16 + 16 = 0
0 + 1x = -13 + 16
1x = -13 + 16

Combine like terms: -13 + 16 = 3
1x = 3

Divide each side by '1'.
x = 3

Simplifying
x = 3

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