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

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


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

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

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

Reorder the terms:
10 + -3x = -11 + 7x

Solving
10 + -3x = -11 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
10 + -3x + -7x = -11 + 7x + -7x

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

Combine like terms: 7x + -7x = 0
10 + -10x = -11 + 0
10 + -10x = -11

Add '-10' to each side of the equation.
10 + -10 + -10x = -11 + -10

Combine like terms: 10 + -10 = 0
0 + -10x = -11 + -10
-10x = -11 + -10

Combine like terms: -11 + -10 = -21
-10x = -21

Divide each side by '-10'.
x = 2.1

Simplifying
x = 2.1

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