7-4(x-3)=-(x+6)

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Solution for 7-4(x-3)=-(x+6) equation:


Simplifying
7 + -4(x + -3) = -1(x + 6)

Reorder the terms:
7 + -4(-3 + x) = -1(x + 6)
7 + (-3 * -4 + x * -4) = -1(x + 6)
7 + (12 + -4x) = -1(x + 6)

Combine like terms: 7 + 12 = 19
19 + -4x = -1(x + 6)

Reorder the terms:
19 + -4x = -1(6 + x)
19 + -4x = (6 * -1 + x * -1)
19 + -4x = (-6 + -1x)

Solving
19 + -4x = -6 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
19 + -4x + x = -6 + -1x + x

Combine like terms: -4x + x = -3x
19 + -3x = -6 + -1x + x

Combine like terms: -1x + x = 0
19 + -3x = -6 + 0
19 + -3x = -6

Add '-19' to each side of the equation.
19 + -19 + -3x = -6 + -19

Combine like terms: 19 + -19 = 0
0 + -3x = -6 + -19
-3x = -6 + -19

Combine like terms: -6 + -19 = -25
-3x = -25

Divide each side by '-3'.
x = 8.333333333

Simplifying
x = 8.333333333

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