6-(3x-4)+7x-11=-x+4

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Solution for 6-(3x-4)+7x-11=-x+4 equation:


Simplifying
6 + -1(3x + -4) + 7x + -11 = -1x + 4

Reorder the terms:
6 + -1(-4 + 3x) + 7x + -11 = -1x + 4
6 + (-4 * -1 + 3x * -1) + 7x + -11 = -1x + 4
6 + (4 + -3x) + 7x + -11 = -1x + 4

Reorder the terms:
6 + 4 + -11 + -3x + 7x = -1x + 4

Combine like terms: 6 + 4 = 10
10 + -11 + -3x + 7x = -1x + 4

Combine like terms: 10 + -11 = -1
-1 + -3x + 7x = -1x + 4

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

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

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

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

Combine like terms: -1x + x = 0
-1 + 5x = 4 + 0
-1 + 5x = 4

Add '1' to each side of the equation.
-1 + 1 + 5x = 4 + 1

Combine like terms: -1 + 1 = 0
0 + 5x = 4 + 1
5x = 4 + 1

Combine like terms: 4 + 1 = 5
5x = 5

Divide each side by '5'.
x = 1

Simplifying
x = 1

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