6-4x=-3(x+4)+15

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Solution for 6-4x=-3(x+4)+15 equation:


Simplifying
6 + -4x = -3(x + 4) + 15

Reorder the terms:
6 + -4x = -3(4 + x) + 15
6 + -4x = (4 * -3 + x * -3) + 15
6 + -4x = (-12 + -3x) + 15

Reorder the terms:
6 + -4x = -12 + 15 + -3x

Combine like terms: -12 + 15 = 3
6 + -4x = 3 + -3x

Solving
6 + -4x = 3 + -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.
6 + -4x + 3x = 3 + -3x + 3x

Combine like terms: -4x + 3x = -1x
6 + -1x = 3 + -3x + 3x

Combine like terms: -3x + 3x = 0
6 + -1x = 3 + 0
6 + -1x = 3

Add '-6' to each side of the equation.
6 + -6 + -1x = 3 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 3 + -6
-1x = 3 + -6

Combine like terms: 3 + -6 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3

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