5(x-1)=4(x+10)

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Solution for 5(x-1)=4(x+10) equation:


Simplifying
5(x + -1) = 4(x + 10)

Reorder the terms:
5(-1 + x) = 4(x + 10)
(-1 * 5 + x * 5) = 4(x + 10)
(-5 + 5x) = 4(x + 10)

Reorder the terms:
-5 + 5x = 4(10 + x)
-5 + 5x = (10 * 4 + x * 4)
-5 + 5x = (40 + 4x)

Solving
-5 + 5x = 40 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-5 + 5x + -4x = 40 + 4x + -4x

Combine like terms: 5x + -4x = 1x
-5 + 1x = 40 + 4x + -4x

Combine like terms: 4x + -4x = 0
-5 + 1x = 40 + 0
-5 + 1x = 40

Add '5' to each side of the equation.
-5 + 5 + 1x = 40 + 5

Combine like terms: -5 + 5 = 0
0 + 1x = 40 + 5
1x = 40 + 5

Combine like terms: 40 + 5 = 45
1x = 45

Divide each side by '1'.
x = 45

Simplifying
x = 45

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