7(x-1)=4x+11

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Solution for 7(x-1)=4x+11 equation:


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

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

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

Solving
-7 + 7x = 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.
-7 + 7x + -4x = 11 + 4x + -4x

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

Combine like terms: 4x + -4x = 0
-7 + 3x = 11 + 0
-7 + 3x = 11

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

Combine like terms: -7 + 7 = 0
0 + 3x = 11 + 7
3x = 11 + 7

Combine like terms: 11 + 7 = 18
3x = 18

Divide each side by '3'.
x = 6

Simplifying
x = 6

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