10(-2+1)=-14(x+2)+38-6x

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Solution for 10(-2+1)=-14(x+2)+38-6x equation: 


Simplifying
10(-2 + 1) = -14(x + 2) + 38 + -6x

Combine like terms: -2 + 1 = -1
10(-1) = -14(x + 2) + 38 + -6x

Multiply 10 * -1
-10 = -14(x + 2) + 38 + -6x

Reorder the terms:
-10 = -14(2 + x) + 38 + -6x
-10 = (2 * -14 + x * -14) + 38 + -6x
-10 = (-28 + -14x) + 38 + -6x

Reorder the terms:
-10 = -28 + 38 + -14x + -6x

Combine like terms: -28 + 38 = 10
-10 = 10 + -14x + -6x

Combine like terms: -14x + -6x = -20x
-10 = 10 + -20x

Solving
-10 = 10 + -20x

Solving for variable 'x'.

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

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

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

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

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

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

Divide each side by '20'.
x = 1

Simplifying
x = 1

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