2x-(7x+4)=2x-46

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Solution for 2x-(7x+4)=2x-46 equation:


Simplifying
2x + -1(7x + 4) = 2x + -46

Reorder the terms:
2x + -1(4 + 7x) = 2x + -46
2x + (4 * -1 + 7x * -1) = 2x + -46
2x + (-4 + -7x) = 2x + -46

Reorder the terms:
-4 + 2x + -7x = 2x + -46

Combine like terms: 2x + -7x = -5x
-4 + -5x = 2x + -46

Reorder the terms:
-4 + -5x = -46 + 2x

Solving
-4 + -5x = -46 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-4 + -5x + -2x = -46 + 2x + -2x

Combine like terms: -5x + -2x = -7x
-4 + -7x = -46 + 2x + -2x

Combine like terms: 2x + -2x = 0
-4 + -7x = -46 + 0
-4 + -7x = -46

Add '4' to each side of the equation.
-4 + 4 + -7x = -46 + 4

Combine like terms: -4 + 4 = 0
0 + -7x = -46 + 4
-7x = -46 + 4

Combine like terms: -46 + 4 = -42
-7x = -42

Divide each side by '-7'.
x = 6

Simplifying
x = 6

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