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

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


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

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

Reorder the terms:
-2 + 3 + 2x = X + -3(x + 5)

Combine like terms: -2 + 3 = 1
1 + 2x = X + -3(x + 5)

Reorder the terms:
1 + 2x = X + -3(5 + x)
1 + 2x = X + (5 * -3 + x * -3)
1 + 2x = X + (-15 + -3x)

Reorder the terms:
1 + 2x = -15 + X + -3x

Solving
1 + 2x = -15 + X + -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.
1 + 2x + 3x = -15 + X + -3x + 3x

Combine like terms: 2x + 3x = 5x
1 + 5x = -15 + X + -3x + 3x

Combine like terms: -3x + 3x = 0
1 + 5x = -15 + X + 0
1 + 5x = -15 + X

Add '-1' to each side of the equation.
1 + -1 + 5x = -15 + -1 + X

Combine like terms: 1 + -1 = 0
0 + 5x = -15 + -1 + X
5x = -15 + -1 + X

Combine like terms: -15 + -1 = -16
5x = -16 + X

Divide each side by '5'.
x = -3.2 + 0.2X

Simplifying
x = -3.2 + 0.2X

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