x+3=3(x-4)

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


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

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

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

Solving
3 + x = -12 + 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.
3 + x + -3x = -12 + 3x + -3x

Combine like terms: x + -3x = -2x
3 + -2x = -12 + 3x + -3x

Combine like terms: 3x + -3x = 0
3 + -2x = -12 + 0
3 + -2x = -12

Add '-3' to each side of the equation.
3 + -3 + -2x = -12 + -3

Combine like terms: 3 + -3 = 0
0 + -2x = -12 + -3
-2x = -12 + -3

Combine like terms: -12 + -3 = -15
-2x = -15

Divide each side by '-2'.
x = 7.5

Simplifying
x = 7.5

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