34-8x=6x-3(7+x)

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Solution for 34-8x=6x-3(7+x) equation:


Simplifying
34 + -8x = 6x + -3(7 + x)
34 + -8x = 6x + (7 * -3 + x * -3)
34 + -8x = 6x + (-21 + -3x)

Reorder the terms:
34 + -8x = -21 + 6x + -3x

Combine like terms: 6x + -3x = 3x
34 + -8x = -21 + 3x

Solving
34 + -8x = -21 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
34 + -8x + -3x = -21 + 3x + -3x

Combine like terms: -8x + -3x = -11x
34 + -11x = -21 + 3x + -3x

Combine like terms: 3x + -3x = 0
34 + -11x = -21 + 0
34 + -11x = -21

Add '-34' to each side of the equation.
34 + -34 + -11x = -21 + -34

Combine like terms: 34 + -34 = 0
0 + -11x = -21 + -34
-11x = -21 + -34

Combine like terms: -21 + -34 = -55
-11x = -55

Divide each side by '-11'.
x = 5

Simplifying
x = 5

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