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

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


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

Reorder the terms:
5(-5 + x) + -6(x + -4) = 10
(-5 * 5 + x * 5) + -6(x + -4) = 10
(-25 + 5x) + -6(x + -4) = 10

Reorder the terms:
-25 + 5x + -6(-4 + x) = 10
-25 + 5x + (-4 * -6 + x * -6) = 10
-25 + 5x + (24 + -6x) = 10

Reorder the terms:
-25 + 24 + 5x + -6x = 10

Combine like terms: -25 + 24 = -1
-1 + 5x + -6x = 10

Combine like terms: 5x + -6x = -1x
-1 + -1x = 10

Solving
-1 + -1x = 10

Solving for variable 'x'.

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

Add '1' to each side of the equation.
-1 + 1 + -1x = 10 + 1

Combine like terms: -1 + 1 = 0
0 + -1x = 10 + 1
-1x = 10 + 1

Combine like terms: 10 + 1 = 11
-1x = 11

Divide each side by '-1'.
x = -11

Simplifying
x = -11

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