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

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


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

Reorder the terms:
3x + -2(2 + 5x) = 1 + -5(x + -1) + x
3x + (2 * -2 + 5x * -2) = 1 + -5(x + -1) + x
3x + (-4 + -10x) = 1 + -5(x + -1) + x

Reorder the terms:
-4 + 3x + -10x = 1 + -5(x + -1) + x

Combine like terms: 3x + -10x = -7x
-4 + -7x = 1 + -5(x + -1) + x

Reorder the terms:
-4 + -7x = 1 + -5(-1 + x) + x
-4 + -7x = 1 + (-1 * -5 + x * -5) + x
-4 + -7x = 1 + (5 + -5x) + x

Combine like terms: 1 + 5 = 6
-4 + -7x = 6 + -5x + x

Combine like terms: -5x + x = -4x
-4 + -7x = 6 + -4x

Solving
-4 + -7x = 6 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-4 + -7x + 4x = 6 + -4x + 4x

Combine like terms: -7x + 4x = -3x
-4 + -3x = 6 + -4x + 4x

Combine like terms: -4x + 4x = 0
-4 + -3x = 6 + 0
-4 + -3x = 6

Add '4' to each side of the equation.
-4 + 4 + -3x = 6 + 4

Combine like terms: -4 + 4 = 0
0 + -3x = 6 + 4
-3x = 6 + 4

Combine like terms: 6 + 4 = 10
-3x = 10

Divide each side by '-3'.
x = -3.333333333

Simplifying
x = -3.333333333

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