-4x+2=7x-20

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Solution for -4x+2=7x-20 equation:


Simplifying
-4x + 2 = 7x + -20

Reorder the terms:
2 + -4x = 7x + -20

Reorder the terms:
2 + -4x = -20 + 7x

Solving
2 + -4x = -20 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
2 + -4x + -7x = -20 + 7x + -7x

Combine like terms: -4x + -7x = -11x
2 + -11x = -20 + 7x + -7x

Combine like terms: 7x + -7x = 0
2 + -11x = -20 + 0
2 + -11x = -20

Add '-2' to each side of the equation.
2 + -2 + -11x = -20 + -2

Combine like terms: 2 + -2 = 0
0 + -11x = -20 + -2
-11x = -20 + -2

Combine like terms: -20 + -2 = -22
-11x = -22

Divide each side by '-11'.
x = 2

Simplifying
x = 2

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