7-4x=11(x-3)

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


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

Reorder the terms:
7 + -4x = 11(-3 + x)
7 + -4x = (-3 * 11 + x * 11)
7 + -4x = (-33 + 11x)

Solving
7 + -4x = -33 + 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 = -33 + 11x + -11x

Combine like terms: -4x + -11x = -15x
7 + -15x = -33 + 11x + -11x

Combine like terms: 11x + -11x = 0
7 + -15x = -33 + 0
7 + -15x = -33

Add '-7' to each side of the equation.
7 + -7 + -15x = -33 + -7

Combine like terms: 7 + -7 = 0
0 + -15x = -33 + -7
-15x = -33 + -7

Combine like terms: -33 + -7 = -40
-15x = -40

Divide each side by '-15'.
x = 2.666666667

Simplifying
x = 2.666666667

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