11(x-1)=7x-13

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Solution for 11(x-1)=7x-13 equation:


Simplifying
11(x + -1) = 7x + -13

Reorder the terms:
11(-1 + x) = 7x + -13
(-1 * 11 + x * 11) = 7x + -13
(-11 + 11x) = 7x + -13

Reorder the terms:
-11 + 11x = -13 + 7x

Solving
-11 + 11x = -13 + 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.
-11 + 11x + -7x = -13 + 7x + -7x

Combine like terms: 11x + -7x = 4x
-11 + 4x = -13 + 7x + -7x

Combine like terms: 7x + -7x = 0
-11 + 4x = -13 + 0
-11 + 4x = -13

Add '11' to each side of the equation.
-11 + 11 + 4x = -13 + 11

Combine like terms: -11 + 11 = 0
0 + 4x = -13 + 11
4x = -13 + 11

Combine like terms: -13 + 11 = -2
4x = -2

Divide each side by '4'.
x = -0.5

Simplifying
x = -0.5

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