5(5x-2)+7=5x-11

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Solution for 5(5x-2)+7=5x-11 equation:


Simplifying
5(5x + -2) + 7 = 5x + -11

Reorder the terms:
5(-2 + 5x) + 7 = 5x + -11
(-2 * 5 + 5x * 5) + 7 = 5x + -11
(-10 + 25x) + 7 = 5x + -11

Reorder the terms:
-10 + 7 + 25x = 5x + -11

Combine like terms: -10 + 7 = -3
-3 + 25x = 5x + -11

Reorder the terms:
-3 + 25x = -11 + 5x

Solving
-3 + 25x = -11 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-3 + 25x + -5x = -11 + 5x + -5x

Combine like terms: 25x + -5x = 20x
-3 + 20x = -11 + 5x + -5x

Combine like terms: 5x + -5x = 0
-3 + 20x = -11 + 0
-3 + 20x = -11

Add '3' to each side of the equation.
-3 + 3 + 20x = -11 + 3

Combine like terms: -3 + 3 = 0
0 + 20x = -11 + 3
20x = -11 + 3

Combine like terms: -11 + 3 = -8
20x = -8

Divide each side by '20'.
x = -0.4

Simplifying
x = -0.4

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