2x-7=-4x+5

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Solution for 2x-7=-4x+5 equation:


Simplifying
2x + -7 = -4x + 5

Reorder the terms:
-7 + 2x = -4x + 5

Reorder the terms:
-7 + 2x = 5 + -4x

Solving
-7 + 2x = 5 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-7 + 2x + 4x = 5 + -4x + 4x

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

Combine like terms: -4x + 4x = 0
-7 + 6x = 5 + 0
-7 + 6x = 5

Add '7' to each side of the equation.
-7 + 7 + 6x = 5 + 7

Combine like terms: -7 + 7 = 0
0 + 6x = 5 + 7
6x = 5 + 7

Combine like terms: 5 + 7 = 12
6x = 12

Divide each side by '6'.
x = 2

Simplifying
x = 2

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