2x+5-4(x-3)=-3(x-3)

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Solution for 2x+5-4(x-3)=-3(x-3) equation:


Simplifying
2x + 5 + -4(x + -3) = -3(x + -3)

Reorder the terms:
2x + 5 + -4(-3 + x) = -3(x + -3)
2x + 5 + (-3 * -4 + x * -4) = -3(x + -3)
2x + 5 + (12 + -4x) = -3(x + -3)

Reorder the terms:
5 + 12 + 2x + -4x = -3(x + -3)

Combine like terms: 5 + 12 = 17
17 + 2x + -4x = -3(x + -3)

Combine like terms: 2x + -4x = -2x
17 + -2x = -3(x + -3)

Reorder the terms:
17 + -2x = -3(-3 + x)
17 + -2x = (-3 * -3 + x * -3)
17 + -2x = (9 + -3x)

Solving
17 + -2x = 9 + -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.
17 + -2x + 3x = 9 + -3x + 3x

Combine like terms: -2x + 3x = 1x
17 + 1x = 9 + -3x + 3x

Combine like terms: -3x + 3x = 0
17 + 1x = 9 + 0
17 + 1x = 9

Add '-17' to each side of the equation.
17 + -17 + 1x = 9 + -17

Combine like terms: 17 + -17 = 0
0 + 1x = 9 + -17
1x = 9 + -17

Combine like terms: 9 + -17 = -8
1x = -8

Divide each side by '1'.
x = -8

Simplifying
x = -8

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