6x-(4x+7)=5x-34

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Solution for 6x-(4x+7)=5x-34 equation:


Simplifying
6x + -1(4x + 7) = 5x + -34

Reorder the terms:
6x + -1(7 + 4x) = 5x + -34
6x + (7 * -1 + 4x * -1) = 5x + -34
6x + (-7 + -4x) = 5x + -34

Reorder the terms:
-7 + 6x + -4x = 5x + -34

Combine like terms: 6x + -4x = 2x
-7 + 2x = 5x + -34

Reorder the terms:
-7 + 2x = -34 + 5x

Solving
-7 + 2x = -34 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-7 + 2x + -5x = -34 + 5x + -5x

Combine like terms: 2x + -5x = -3x
-7 + -3x = -34 + 5x + -5x

Combine like terms: 5x + -5x = 0
-7 + -3x = -34 + 0
-7 + -3x = -34

Add '7' to each side of the equation.
-7 + 7 + -3x = -34 + 7

Combine like terms: -7 + 7 = 0
0 + -3x = -34 + 7
-3x = -34 + 7

Combine like terms: -34 + 7 = -27
-3x = -27

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

Simplifying
x = 9

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