9+4(x-6)=10-3(x-4)

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Solution for 9+4(x-6)=10-3(x-4) equation:


Simplifying
9 + 4(x + -6) = 10 + -3(x + -4)

Reorder the terms:
9 + 4(-6 + x) = 10 + -3(x + -4)
9 + (-6 * 4 + x * 4) = 10 + -3(x + -4)
9 + (-24 + 4x) = 10 + -3(x + -4)

Combine like terms: 9 + -24 = -15
-15 + 4x = 10 + -3(x + -4)

Reorder the terms:
-15 + 4x = 10 + -3(-4 + x)
-15 + 4x = 10 + (-4 * -3 + x * -3)
-15 + 4x = 10 + (12 + -3x)

Combine like terms: 10 + 12 = 22
-15 + 4x = 22 + -3x

Solving
-15 + 4x = 22 + -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.
-15 + 4x + 3x = 22 + -3x + 3x

Combine like terms: 4x + 3x = 7x
-15 + 7x = 22 + -3x + 3x

Combine like terms: -3x + 3x = 0
-15 + 7x = 22 + 0
-15 + 7x = 22

Add '15' to each side of the equation.
-15 + 15 + 7x = 22 + 15

Combine like terms: -15 + 15 = 0
0 + 7x = 22 + 15
7x = 22 + 15

Combine like terms: 22 + 15 = 37
7x = 37

Divide each side by '7'.
x = 5.285714286

Simplifying
x = 5.285714286

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