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

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


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

Reorder the terms:
4 + -3x = 7(4 + x) + -6x
4 + -3x = (4 * 7 + x * 7) + -6x
4 + -3x = (28 + 7x) + -6x

Combine like terms: 7x + -6x = 1x
4 + -3x = 28 + 1x

Solving
4 + -3x = 28 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
4 + -3x + -1x = 28 + 1x + -1x

Combine like terms: -3x + -1x = -4x
4 + -4x = 28 + 1x + -1x

Combine like terms: 1x + -1x = 0
4 + -4x = 28 + 0
4 + -4x = 28

Add '-4' to each side of the equation.
4 + -4 + -4x = 28 + -4

Combine like terms: 4 + -4 = 0
0 + -4x = 28 + -4
-4x = 28 + -4

Combine like terms: 28 + -4 = 24
-4x = 24

Divide each side by '-4'.
x = -6

Simplifying
x = -6

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