5x+4(3x-4)=10-9x

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Solution for 5x+4(3x-4)=10-9x equation:


Simplifying
5x + 4(3x + -4) = 10 + -9x

Reorder the terms:
5x + 4(-4 + 3x) = 10 + -9x
5x + (-4 * 4 + 3x * 4) = 10 + -9x
5x + (-16 + 12x) = 10 + -9x

Reorder the terms:
-16 + 5x + 12x = 10 + -9x

Combine like terms: 5x + 12x = 17x
-16 + 17x = 10 + -9x

Solving
-16 + 17x = 10 + -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 + 17x + 9x = 10 + -9x + 9x

Combine like terms: 17x + 9x = 26x
-16 + 26x = 10 + -9x + 9x

Combine like terms: -9x + 9x = 0
-16 + 26x = 10 + 0
-16 + 26x = 10

Add '16' to each side of the equation.
-16 + 16 + 26x = 10 + 16

Combine like terms: -16 + 16 = 0
0 + 26x = 10 + 16
26x = 10 + 16

Combine like terms: 10 + 16 = 26
26x = 26

Divide each side by '26'.
x = 1

Simplifying
x = 1

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