5(4x-2)+x=3(x+10)-10

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Solution for 5(4x-2)+x=3(x+10)-10 equation: 


Simplifying
5(4x + -2) + x = 3(x + 10) + -10

Reorder the terms:
5(-2 + 4x) + x = 3(x + 10) + -10
(-2 * 5 + 4x * 5) + x = 3(x + 10) + -10
(-10 + 20x) + x = 3(x + 10) + -10

Combine like terms: 20x + x = 21x
-10 + 21x = 3(x + 10) + -10

Reorder the terms:
-10 + 21x = 3(10 + x) + -10
-10 + 21x = (10 * 3 + x * 3) + -10
-10 + 21x = (30 + 3x) + -10

Reorder the terms:
-10 + 21x = 30 + -10 + 3x

Combine like terms: 30 + -10 = 20
-10 + 21x = 20 + 3x

Solving
-10 + 21x = 20 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-10 + 21x + -3x = 20 + 3x + -3x

Combine like terms: 21x + -3x = 18x
-10 + 18x = 20 + 3x + -3x

Combine like terms: 3x + -3x = 0
-10 + 18x = 20 + 0
-10 + 18x = 20

Add '10' to each side of the equation.
-10 + 10 + 18x = 20 + 10

Combine like terms: -10 + 10 = 0
0 + 18x = 20 + 10
18x = 20 + 10

Combine like terms: 20 + 10 = 30
18x = 30

Divide each side by '18'.
x = 1.666666667

Simplifying
x = 1.666666667

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