9+5(x-4)=10-5(x-6)

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Solution for 9+5(x-4)=10-5(x-6) equation:


Simplifying
9 + 5(x + -4) = 10 + -5(x + -6)

Reorder the terms:
9 + 5(-4 + x) = 10 + -5(x + -6)
9 + (-4 * 5 + x * 5) = 10 + -5(x + -6)
9 + (-20 + 5x) = 10 + -5(x + -6)

Combine like terms: 9 + -20 = -11
-11 + 5x = 10 + -5(x + -6)

Reorder the terms:
-11 + 5x = 10 + -5(-6 + x)
-11 + 5x = 10 + (-6 * -5 + x * -5)
-11 + 5x = 10 + (30 + -5x)

Combine like terms: 10 + 30 = 40
-11 + 5x = 40 + -5x

Solving
-11 + 5x = 40 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-11 + 5x + 5x = 40 + -5x + 5x

Combine like terms: 5x + 5x = 10x
-11 + 10x = 40 + -5x + 5x

Combine like terms: -5x + 5x = 0
-11 + 10x = 40 + 0
-11 + 10x = 40

Add '11' to each side of the equation.
-11 + 11 + 10x = 40 + 11

Combine like terms: -11 + 11 = 0
0 + 10x = 40 + 11
10x = 40 + 11

Combine like terms: 40 + 11 = 51
10x = 51

Divide each side by '10'.
x = 5.1

Simplifying
x = 5.1

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