x+(x-10)+3(x-10)=90

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Solution for x+(x-10)+3(x-10)=90 equation:


Simplifying
x + (x + -10) + 3(x + -10) = 90

Reorder the terms:
x + (-10 + x) + 3(x + -10) = 90

Remove parenthesis around (-10 + x)
x + -10 + x + 3(x + -10) = 90

Reorder the terms:
x + -10 + x + 3(-10 + x) = 90
x + -10 + x + (-10 * 3 + x * 3) = 90
x + -10 + x + (-30 + 3x) = 90

Reorder the terms:
-10 + -30 + x + x + 3x = 90

Combine like terms: -10 + -30 = -40
-40 + x + x + 3x = 90

Combine like terms: x + x = 2x
-40 + 2x + 3x = 90

Combine like terms: 2x + 3x = 5x
-40 + 5x = 90

Solving
-40 + 5x = 90

Solving for variable 'x'.

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

Add '40' to each side of the equation.
-40 + 40 + 5x = 90 + 40

Combine like terms: -40 + 40 = 0
0 + 5x = 90 + 40
5x = 90 + 40

Combine like terms: 90 + 40 = 130
5x = 130

Divide each side by '5'.
x = 26

Simplifying
x = 26

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