5(x+1)+4(x-1)=100

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Solution for 5(x+1)+4(x-1)=100 equation:


Simplifying
5(x + 1) + 4(x + -1) = 100

Reorder the terms:
5(1 + x) + 4(x + -1) = 100
(1 * 5 + x * 5) + 4(x + -1) = 100
(5 + 5x) + 4(x + -1) = 100

Reorder the terms:
5 + 5x + 4(-1 + x) = 100
5 + 5x + (-1 * 4 + x * 4) = 100
5 + 5x + (-4 + 4x) = 100

Reorder the terms:
5 + -4 + 5x + 4x = 100

Combine like terms: 5 + -4 = 1
1 + 5x + 4x = 100

Combine like terms: 5x + 4x = 9x
1 + 9x = 100

Solving
1 + 9x = 100

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 + 9x = 100 + -1

Combine like terms: 1 + -1 = 0
0 + 9x = 100 + -1
9x = 100 + -1

Combine like terms: 100 + -1 = 99
9x = 99

Divide each side by '9'.
x = 11

Simplifying
x = 11

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