4-(2x-3)=3(x-1)

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Solution for 4-(2x-3)=3(x-1) equation:


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

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

Combine like terms: 4 + 3 = 7
7 + -2x = 3(x + -1)

Reorder the terms:
7 + -2x = 3(-1 + x)
7 + -2x = (-1 * 3 + x * 3)
7 + -2x = (-3 + 3x)

Solving
7 + -2x = -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.
7 + -2x + -3x = -3 + 3x + -3x

Combine like terms: -2x + -3x = -5x
7 + -5x = -3 + 3x + -3x

Combine like terms: 3x + -3x = 0
7 + -5x = -3 + 0
7 + -5x = -3

Add '-7' to each side of the equation.
7 + -7 + -5x = -3 + -7

Combine like terms: 7 + -7 = 0
0 + -5x = -3 + -7
-5x = -3 + -7

Combine like terms: -3 + -7 = -10
-5x = -10

Divide each side by '-5'.
x = 2

Simplifying
x = 2

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