7-2(x-3)=3(x-1)

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Solution for 7-2(x-3)=3(x-1) equation:


Simplifying
7 + -2(x + -3) = 3(x + -1)

Reorder the terms:
7 + -2(-3 + x) = 3(x + -1)
7 + (-3 * -2 + x * -2) = 3(x + -1)
7 + (6 + -2x) = 3(x + -1)

Combine like terms: 7 + 6 = 13
13 + -2x = 3(x + -1)

Reorder the terms:
13 + -2x = 3(-1 + x)
13 + -2x = (-1 * 3 + x * 3)
13 + -2x = (-3 + 3x)

Solving
13 + -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.
13 + -2x + -3x = -3 + 3x + -3x

Combine like terms: -2x + -3x = -5x
13 + -5x = -3 + 3x + -3x

Combine like terms: 3x + -3x = 0
13 + -5x = -3 + 0
13 + -5x = -3

Add '-13' to each side of the equation.
13 + -13 + -5x = -3 + -13

Combine like terms: 13 + -13 = 0
0 + -5x = -3 + -13
-5x = -3 + -13

Combine like terms: -3 + -13 = -16
-5x = -16

Divide each side by '-5'.
x = 3.2

Simplifying
x = 3.2

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