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

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


Simplifying
-3(1 + -3x) + 2(X + -2) = 3x + x
(1 * -3 + -3x * -3) + 2(X + -2) = 3x + x
(-3 + 9x) + 2(X + -2) = 3x + x

Reorder the terms:
-3 + 9x + 2(-2 + X) = 3x + x
-3 + 9x + (-2 * 2 + X * 2) = 3x + x
-3 + 9x + (-4 + 2X) = 3x + x

Reorder the terms:
-3 + -4 + 2X + 9x = 3x + x

Combine like terms: -3 + -4 = -7
-7 + 2X + 9x = 3x + x

Combine like terms: 3x + x = 4x
-7 + 2X + 9x = 4x

Solving
-7 + 2X + 9x = 4x

Solving for variable 'X'.

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

Add '7' to each side of the equation.
-7 + 2X + 7 + 9x = 7 + 4x

Reorder the terms:
-7 + 7 + 2X + 9x = 7 + 4x

Combine like terms: -7 + 7 = 0
0 + 2X + 9x = 7 + 4x
2X + 9x = 7 + 4x

Add '-9x' to each side of the equation.
2X + 9x + -9x = 7 + 4x + -9x

Combine like terms: 9x + -9x = 0
2X + 0 = 7 + 4x + -9x
2X = 7 + 4x + -9x

Combine like terms: 4x + -9x = -5x
2X = 7 + -5x

Divide each side by '2'.
X = 3.5 + -2.5x

Simplifying
X = 3.5 + -2.5x

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