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

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


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

Reorder the terms:
x + -3(-3 + x) = 2(x + 4)
x + (-3 * -3 + x * -3) = 2(x + 4)
x + (9 + -3x) = 2(x + 4)

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

Combine like terms: x + -3x = -2x
9 + -2x = 2(x + 4)

Reorder the terms:
9 + -2x = 2(4 + x)
9 + -2x = (4 * 2 + x * 2)
9 + -2x = (8 + 2x)

Solving
9 + -2x = 8 + 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.
9 + -2x + -2x = 8 + 2x + -2x

Combine like terms: -2x + -2x = -4x
9 + -4x = 8 + 2x + -2x

Combine like terms: 2x + -2x = 0
9 + -4x = 8 + 0
9 + -4x = 8

Add '-9' to each side of the equation.
9 + -9 + -4x = 8 + -9

Combine like terms: 9 + -9 = 0
0 + -4x = 8 + -9
-4x = 8 + -9

Combine like terms: 8 + -9 = -1
-4x = -1

Divide each side by '-4'.
x = 0.25

Simplifying
x = 0.25

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