14-7(x-3)=4x-11

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Solution for 14-7(x-3)=4x-11 equation:


Simplifying
14 + -7(x + -3) = 4x + -11

Reorder the terms:
14 + -7(-3 + x) = 4x + -11
14 + (-3 * -7 + x * -7) = 4x + -11
14 + (21 + -7x) = 4x + -11

Combine like terms: 14 + 21 = 35
35 + -7x = 4x + -11

Reorder the terms:
35 + -7x = -11 + 4x

Solving
35 + -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.
35 + -7x + -4x = -11 + 4x + -4x

Combine like terms: -7x + -4x = -11x
35 + -11x = -11 + 4x + -4x

Combine like terms: 4x + -4x = 0
35 + -11x = -11 + 0
35 + -11x = -11

Add '-35' to each side of the equation.
35 + -35 + -11x = -11 + -35

Combine like terms: 35 + -35 = 0
0 + -11x = -11 + -35
-11x = -11 + -35

Combine like terms: -11 + -35 = -46
-11x = -46

Divide each side by '-11'.
x = 4.181818182

Simplifying
x = 4.181818182

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