x-3(x-2)+3-5x=7-(2-3x)

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Solution for x-3(x-2)+3-5x=7-(2-3x) equation:


Simplifying
x + -3(x + -2) + 3 + -5x = 7 + -1(2 + -3x)

Reorder the terms:
x + -3(-2 + x) + 3 + -5x = 7 + -1(2 + -3x)
x + (-2 * -3 + x * -3) + 3 + -5x = 7 + -1(2 + -3x)
x + (6 + -3x) + 3 + -5x = 7 + -1(2 + -3x)

Reorder the terms:
6 + 3 + x + -3x + -5x = 7 + -1(2 + -3x)

Combine like terms: 6 + 3 = 9
9 + x + -3x + -5x = 7 + -1(2 + -3x)

Combine like terms: x + -3x = -2x
9 + -2x + -5x = 7 + -1(2 + -3x)

Combine like terms: -2x + -5x = -7x
9 + -7x = 7 + -1(2 + -3x)
9 + -7x = 7 + (2 * -1 + -3x * -1)
9 + -7x = 7 + (-2 + 3x)

Combine like terms: 7 + -2 = 5
9 + -7x = 5 + 3x

Solving
9 + -7x = 5 + 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.
9 + -7x + -3x = 5 + 3x + -3x

Combine like terms: -7x + -3x = -10x
9 + -10x = 5 + 3x + -3x

Combine like terms: 3x + -3x = 0
9 + -10x = 5 + 0
9 + -10x = 5

Add '-9' to each side of the equation.
9 + -9 + -10x = 5 + -9

Combine like terms: 9 + -9 = 0
0 + -10x = 5 + -9
-10x = 5 + -9

Combine like terms: 5 + -9 = -4
-10x = -4

Divide each side by '-10'.
x = 0.4

Simplifying
x = 0.4

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