6-(3x-5)=-4(x+1)-7

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Solution for 6-(3x-5)=-4(x+1)-7 equation: 


Simplifying
6 + -1(3x + -5) = -4(x + 1) + -7

Reorder the terms:
6 + -1(-5 + 3x) = -4(x + 1) + -7
6 + (-5 * -1 + 3x * -1) = -4(x + 1) + -7
6 + (5 + -3x) = -4(x + 1) + -7

Combine like terms: 6 + 5 = 11
11 + -3x = -4(x + 1) + -7

Reorder the terms:
11 + -3x = -4(1 + x) + -7
11 + -3x = (1 * -4 + x * -4) + -7
11 + -3x = (-4 + -4x) + -7

Reorder the terms:
11 + -3x = -4 + -7 + -4x

Combine like terms: -4 + -7 = -11
11 + -3x = -11 + -4x

Solving
11 + -3x = -11 + -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.
11 + -3x + 4x = -11 + -4x + 4x

Combine like terms: -3x + 4x = 1x
11 + 1x = -11 + -4x + 4x

Combine like terms: -4x + 4x = 0
11 + 1x = -11 + 0
11 + 1x = -11

Add '-11' to each side of the equation.
11 + -11 + 1x = -11 + -11

Combine like terms: 11 + -11 = 0
0 + 1x = -11 + -11
1x = -11 + -11

Combine like terms: -11 + -11 = -22
1x = -22

Divide each side by '1'.
x = -22

Simplifying
x = -22

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