2(x-3)-5(x+1)+2-1(1-8x)=10

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Solution for 2(x-3)-5(x+1)+2-1(1-8x)=10 equation:


Simplifying
2(x + -3) + -5(x + 1) + 2 + -1(1 + -8x) = 10

Reorder the terms:
2(-3 + x) + -5(x + 1) + 2 + -1(1 + -8x) = 10
(-3 * 2 + x * 2) + -5(x + 1) + 2 + -1(1 + -8x) = 10
(-6 + 2x) + -5(x + 1) + 2 + -1(1 + -8x) = 10

Reorder the terms:
-6 + 2x + -5(1 + x) + 2 + -1(1 + -8x) = 10
-6 + 2x + (1 * -5 + x * -5) + 2 + -1(1 + -8x) = 10
-6 + 2x + (-5 + -5x) + 2 + -1(1 + -8x) = 10
-6 + 2x + -5 + -5x + 2 + (1 * -1 + -8x * -1) = 10
-6 + 2x + -5 + -5x + 2 + (-1 + 8x) = 10

Reorder the terms:
-6 + -5 + 2 + -1 + 2x + -5x + 8x = 10

Combine like terms: -6 + -5 = -11
-11 + 2 + -1 + 2x + -5x + 8x = 10

Combine like terms: -11 + 2 = -9
-9 + -1 + 2x + -5x + 8x = 10

Combine like terms: -9 + -1 = -10
-10 + 2x + -5x + 8x = 10

Combine like terms: 2x + -5x = -3x
-10 + -3x + 8x = 10

Combine like terms: -3x + 8x = 5x
-10 + 5x = 10

Solving
-10 + 5x = 10

Solving for variable 'x'.

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

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

Combine like terms: -10 + 10 = 0
0 + 5x = 10 + 10
5x = 10 + 10

Combine like terms: 10 + 10 = 20
5x = 20

Divide each side by '5'.
x = 4

Simplifying
x = 4

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