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

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


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

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

Combine like terms: -3x + 7x = 4x
-6 = -12 + 4x

Solving
-6 = -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.
-6 + -4x = -12 + 4x + -4x

Combine like terms: 4x + -4x = 0
-6 + -4x = -12 + 0
-6 + -4x = -12

Add '6' to each side of the equation.
-6 + 6 + -4x = -12 + 6

Combine like terms: -6 + 6 = 0
0 + -4x = -12 + 6
-4x = -12 + 6

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

Divide each side by '-4'.
x = 1.5

Simplifying
x = 1.5

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