4x-(7x+7)=6x-34

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Solution for 4x-(7x+7)=6x-34 equation:


Simplifying
4x + -1(7x + 7) = 6x + -34

Reorder the terms:
4x + -1(7 + 7x) = 6x + -34
4x + (7 * -1 + 7x * -1) = 6x + -34
4x + (-7 + -7x) = 6x + -34

Reorder the terms:
-7 + 4x + -7x = 6x + -34

Combine like terms: 4x + -7x = -3x
-7 + -3x = 6x + -34

Reorder the terms:
-7 + -3x = -34 + 6x

Solving
-7 + -3x = -34 + 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.
-7 + -3x + -6x = -34 + 6x + -6x

Combine like terms: -3x + -6x = -9x
-7 + -9x = -34 + 6x + -6x

Combine like terms: 6x + -6x = 0
-7 + -9x = -34 + 0
-7 + -9x = -34

Add '7' to each side of the equation.
-7 + 7 + -9x = -34 + 7

Combine like terms: -7 + 7 = 0
0 + -9x = -34 + 7
-9x = -34 + 7

Combine like terms: -34 + 7 = -27
-9x = -27

Divide each side by '-9'.
x = 3

Simplifying
x = 3

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