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

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


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

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

Reorder the terms:
3 + -1x = 5(-2 + x) + 2(x + -3)
3 + -1x = (-2 * 5 + x * 5) + 2(x + -3)
3 + -1x = (-10 + 5x) + 2(x + -3)

Reorder the terms:
3 + -1x = -10 + 5x + 2(-3 + x)
3 + -1x = -10 + 5x + (-3 * 2 + x * 2)
3 + -1x = -10 + 5x + (-6 + 2x)

Reorder the terms:
3 + -1x = -10 + -6 + 5x + 2x

Combine like terms: -10 + -6 = -16
3 + -1x = -16 + 5x + 2x

Combine like terms: 5x + 2x = 7x
3 + -1x = -16 + 7x

Solving
3 + -1x = -16 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
3 + -1x + -7x = -16 + 7x + -7x

Combine like terms: -1x + -7x = -8x
3 + -8x = -16 + 7x + -7x

Combine like terms: 7x + -7x = 0
3 + -8x = -16 + 0
3 + -8x = -16

Add '-3' to each side of the equation.
3 + -3 + -8x = -16 + -3

Combine like terms: 3 + -3 = 0
0 + -8x = -16 + -3
-8x = -16 + -3

Combine like terms: -16 + -3 = -19
-8x = -19

Divide each side by '-8'.
x = 2.375

Simplifying
x = 2.375

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