4(2x-3)+(x-4)=10

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Solution for 4(2x-3)+(x-4)=10 equation: 


Simplifying
4(2x + -3) + (x + -4) = 10

Reorder the terms:
4(-3 + 2x) + (x + -4) = 10
(-3 * 4 + 2x * 4) + (x + -4) = 10
(-12 + 8x) + (x + -4) = 10

Reorder the terms:
-12 + 8x + (-4 + x) = 10

Remove parenthesis around (-4 + x)
-12 + 8x + -4 + x = 10

Reorder the terms:
-12 + -4 + 8x + x = 10

Combine like terms: -12 + -4 = -16
-16 + 8x + x = 10

Combine like terms: 8x + x = 9x
-16 + 9x = 10

Solving
-16 + 9x = 10

Solving for variable 'x'.

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

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

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

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

Divide each side by '9'.
x = 2.888888889

Simplifying
x = 2.888888889

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