2x-(7x+4)=2x+31

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Solution for 2x-(7x+4)=2x+31 equation:


Simplifying
2x + -1(7x + 4) = 2x + 31

Reorder the terms:
2x + -1(4 + 7x) = 2x + 31
2x + (4 * -1 + 7x * -1) = 2x + 31
2x + (-4 + -7x) = 2x + 31

Reorder the terms:
-4 + 2x + -7x = 2x + 31

Combine like terms: 2x + -7x = -5x
-4 + -5x = 2x + 31

Reorder the terms:
-4 + -5x = 31 + 2x

Solving
-4 + -5x = 31 + 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 = 31 + 2x + -2x

Combine like terms: -5x + -2x = -7x
-4 + -7x = 31 + 2x + -2x

Combine like terms: 2x + -2x = 0
-4 + -7x = 31 + 0
-4 + -7x = 31

Add '4' to each side of the equation.
-4 + 4 + -7x = 31 + 4

Combine like terms: -4 + 4 = 0
0 + -7x = 31 + 4
-7x = 31 + 4

Combine like terms: 31 + 4 = 35
-7x = 35

Divide each side by '-7'.
x = -5

Simplifying
x = -5

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