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

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


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

Reorder the terms:
5 + -2(-3 + 2x) = 3(x + -1)
5 + (-3 * -2 + 2x * -2) = 3(x + -1)
5 + (6 + -4x) = 3(x + -1)

Combine like terms: 5 + 6 = 11
11 + -4x = 3(x + -1)

Reorder the terms:
11 + -4x = 3(-1 + x)
11 + -4x = (-1 * 3 + x * 3)
11 + -4x = (-3 + 3x)

Solving
11 + -4x = -3 + 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.
11 + -4x + -3x = -3 + 3x + -3x

Combine like terms: -4x + -3x = -7x
11 + -7x = -3 + 3x + -3x

Combine like terms: 3x + -3x = 0
11 + -7x = -3 + 0
11 + -7x = -3

Add '-11' to each side of the equation.
11 + -11 + -7x = -3 + -11

Combine like terms: 11 + -11 = 0
0 + -7x = -3 + -11
-7x = -3 + -11

Combine like terms: -3 + -11 = -14
-7x = -14

Divide each side by '-7'.
x = 2

Simplifying
x = 2

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