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

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Solution for 9-(x+6)=4x-7 equation:


Simplifying
9 + -1(x + 6) = 4x + -7

Reorder the terms:
9 + -1(6 + x) = 4x + -7
9 + (6 * -1 + x * -1) = 4x + -7
9 + (-6 + -1x) = 4x + -7

Combine like terms: 9 + -6 = 3
3 + -1x = 4x + -7

Reorder the terms:
3 + -1x = -7 + 4x

Solving
3 + -1x = -7 + 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.
3 + -1x + -4x = -7 + 4x + -4x

Combine like terms: -1x + -4x = -5x
3 + -5x = -7 + 4x + -4x

Combine like terms: 4x + -4x = 0
3 + -5x = -7 + 0
3 + -5x = -7

Add '-3' to each side of the equation.
3 + -3 + -5x = -7 + -3

Combine like terms: 3 + -3 = 0
0 + -5x = -7 + -3
-5x = -7 + -3

Combine like terms: -7 + -3 = -10
-5x = -10

Divide each side by '-5'.
x = 2

Simplifying
x = 2

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