4-(2-3x)=7-2(x-3)

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Solution for 4-(2-3x)=7-2(x-3) equation:


Simplifying
4 + -1(2 + -3x) = 7 + -2(x + -3)
4 + (2 * -1 + -3x * -1) = 7 + -2(x + -3)
4 + (-2 + 3x) = 7 + -2(x + -3)

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

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

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

Solving
2 + 3x = 13 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
2 + 3x + 2x = 13 + -2x + 2x

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

Combine like terms: -2x + 2x = 0
2 + 5x = 13 + 0
2 + 5x = 13

Add '-2' to each side of the equation.
2 + -2 + 5x = 13 + -2

Combine like terms: 2 + -2 = 0
0 + 5x = 13 + -2
5x = 13 + -2

Combine like terms: 13 + -2 = 11
5x = 11

Divide each side by '5'.
x = 2.2

Simplifying
x = 2.2

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