2x+7=4x-9

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Solution for 2x+7=4x-9 equation:


Simplifying
2x + 7 = 4x + -9

Reorder the terms:
7 + 2x = 4x + -9

Reorder the terms:
7 + 2x = -9 + 4x

Solving
7 + 2x = -9 + 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 = -9 + 4x + -4x

Combine like terms: 2x + -4x = -2x
7 + -2x = -9 + 4x + -4x

Combine like terms: 4x + -4x = 0
7 + -2x = -9 + 0
7 + -2x = -9

Add '-7' to each side of the equation.
7 + -7 + -2x = -9 + -7

Combine like terms: 7 + -7 = 0
0 + -2x = -9 + -7
-2x = -9 + -7

Combine like terms: -9 + -7 = -16
-2x = -16

Divide each side by '-2'.
x = 8

Simplifying
x = 8

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