15-3(x+2)=-4(3-x)

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Solution for 15-3(x+2)=-4(3-x) equation:


Simplifying
15 + -3(x + 2) = -4(3 + -1x)

Reorder the terms:
15 + -3(2 + x) = -4(3 + -1x)
15 + (2 * -3 + x * -3) = -4(3 + -1x)
15 + (-6 + -3x) = -4(3 + -1x)

Combine like terms: 15 + -6 = 9
9 + -3x = -4(3 + -1x)
9 + -3x = (3 * -4 + -1x * -4)
9 + -3x = (-12 + 4x)

Solving
9 + -3x = -12 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
9 + -3x + -4x = -12 + 4x + -4x

Combine like terms: -3x + -4x = -7x
9 + -7x = -12 + 4x + -4x

Combine like terms: 4x + -4x = 0
9 + -7x = -12 + 0
9 + -7x = -12

Add '-9' to each side of the equation.
9 + -9 + -7x = -12 + -9

Combine like terms: 9 + -9 = 0
0 + -7x = -12 + -9
-7x = -12 + -9

Combine like terms: -12 + -9 = -21
-7x = -21

Divide each side by '-7'.
x = 3

Simplifying
x = 3

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