-209=5x-6(5x+14)

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Solution for -209=5x-6(5x+14) equation:


Simplifying
-209 = 5x + -6(5x + 14)

Reorder the terms:
-209 = 5x + -6(14 + 5x)
-209 = 5x + (14 * -6 + 5x * -6)
-209 = 5x + (-84 + -30x)

Reorder the terms:
-209 = -84 + 5x + -30x

Combine like terms: 5x + -30x = -25x
-209 = -84 + -25x

Solving
-209 = -84 + -25x

Solving for variable 'x'.

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

Add '25x' to each side of the equation.
-209 + 25x = -84 + -25x + 25x

Combine like terms: -25x + 25x = 0
-209 + 25x = -84 + 0
-209 + 25x = -84

Add '209' to each side of the equation.
-209 + 209 + 25x = -84 + 209

Combine like terms: -209 + 209 = 0
0 + 25x = -84 + 209
25x = -84 + 209

Combine like terms: -84 + 209 = 125
25x = 125

Divide each side by '25'.
x = 5

Simplifying
x = 5

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