2(x-20)+3(x-10)=x+10

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Solution for 2(x-20)+3(x-10)=x+10 equation: 


Simplifying
2(x + -20) + 3(x + -10) = x + 10

Reorder the terms:
2(-20 + x) + 3(x + -10) = x + 10
(-20 * 2 + x * 2) + 3(x + -10) = x + 10
(-40 + 2x) + 3(x + -10) = x + 10

Reorder the terms:
-40 + 2x + 3(-10 + x) = x + 10
-40 + 2x + (-10 * 3 + x * 3) = x + 10
-40 + 2x + (-30 + 3x) = x + 10

Reorder the terms:
-40 + -30 + 2x + 3x = x + 10

Combine like terms: -40 + -30 = -70
-70 + 2x + 3x = x + 10

Combine like terms: 2x + 3x = 5x
-70 + 5x = x + 10

Reorder the terms:
-70 + 5x = 10 + x

Solving
-70 + 5x = 10 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-70 + 5x + -1x = 10 + x + -1x

Combine like terms: 5x + -1x = 4x
-70 + 4x = 10 + x + -1x

Combine like terms: x + -1x = 0
-70 + 4x = 10 + 0
-70 + 4x = 10

Add '70' to each side of the equation.
-70 + 70 + 4x = 10 + 70

Combine like terms: -70 + 70 = 0
0 + 4x = 10 + 70
4x = 10 + 70

Combine like terms: 10 + 70 = 80
4x = 80

Divide each side by '4'.
x = 20

Simplifying
x = 20

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