3x+4=11x-5(x-7)

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Solution for 3x+4=11x-5(x-7) equation:


Simplifying
3x + 4 = 11x + -5(x + -7)

Reorder the terms:
4 + 3x = 11x + -5(x + -7)

Reorder the terms:
4 + 3x = 11x + -5(-7 + x)
4 + 3x = 11x + (-7 * -5 + x * -5)
4 + 3x = 11x + (35 + -5x)

Reorder the terms:
4 + 3x = 35 + 11x + -5x

Combine like terms: 11x + -5x = 6x
4 + 3x = 35 + 6x

Solving
4 + 3x = 35 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
4 + 3x + -6x = 35 + 6x + -6x

Combine like terms: 3x + -6x = -3x
4 + -3x = 35 + 6x + -6x

Combine like terms: 6x + -6x = 0
4 + -3x = 35 + 0
4 + -3x = 35

Add '-4' to each side of the equation.
4 + -4 + -3x = 35 + -4

Combine like terms: 4 + -4 = 0
0 + -3x = 35 + -4
-3x = 35 + -4

Combine like terms: 35 + -4 = 31
-3x = 31

Divide each side by '-3'.
x = -10.33333333

Simplifying
x = -10.33333333

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