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

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


Simplifying
1 + -2(2 + -1x) = 5(x + -3)
1 + (2 * -2 + -1x * -2) = 5(x + -3)
1 + (-4 + 2x) = 5(x + -3)

Combine like terms: 1 + -4 = -3
-3 + 2x = 5(x + -3)

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

Solving
-3 + 2x = -15 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-3 + 2x + -5x = -15 + 5x + -5x

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

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

Add '3' to each side of the equation.
-3 + 3 + -3x = -15 + 3

Combine like terms: -3 + 3 = 0
0 + -3x = -15 + 3
-3x = -15 + 3

Combine like terms: -15 + 3 = -12
-3x = -12

Divide each side by '-3'.
x = 4

Simplifying
x = 4

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