2x-(7x+6)=5x-46

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Solution for 2x-(7x+6)=5x-46 equation: 


Simplifying
2x + -1(7x + 6) = 5x + -46

Reorder the terms:
2x + -1(6 + 7x) = 5x + -46
2x + (6 * -1 + 7x * -1) = 5x + -46
2x + (-6 + -7x) = 5x + -46

Reorder the terms:
-6 + 2x + -7x = 5x + -46

Combine like terms: 2x + -7x = -5x
-6 + -5x = 5x + -46

Reorder the terms:
-6 + -5x = -46 + 5x

Solving
-6 + -5x = -46 + 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.
-6 + -5x + -5x = -46 + 5x + -5x

Combine like terms: -5x + -5x = -10x
-6 + -10x = -46 + 5x + -5x

Combine like terms: 5x + -5x = 0
-6 + -10x = -46 + 0
-6 + -10x = -46

Add '6' to each side of the equation.
-6 + 6 + -10x = -46 + 6

Combine like terms: -6 + 6 = 0
0 + -10x = -46 + 6
-10x = -46 + 6

Combine like terms: -46 + 6 = -40
-10x = -40

Divide each side by '-10'.
x = 4

Simplifying
x = 4

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