4x-7=(x-7)*11

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


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

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

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

Reorder the terms for easier multiplication:
-7 + 4x = 11(-7 + x)
-7 + 4x = (-7 * 11 + x * 11)
-7 + 4x = (-77 + 11x)

Solving
-7 + 4x = -77 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
-7 + 4x + -11x = -77 + 11x + -11x

Combine like terms: 4x + -11x = -7x
-7 + -7x = -77 + 11x + -11x

Combine like terms: 11x + -11x = 0
-7 + -7x = -77 + 0
-7 + -7x = -77

Add '7' to each side of the equation.
-7 + 7 + -7x = -77 + 7

Combine like terms: -7 + 7 = 0
0 + -7x = -77 + 7
-7x = -77 + 7

Combine like terms: -77 + 7 = -70
-7x = -70

Divide each side by '-7'.
x = 10

Simplifying
x = 10

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