5(5x-37)=5-4(x+8)

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Solution for 5(5x-37)=5-4(x+8) equation:


Simplifying
5(5x + -37) = 5 + -4(x + 8)

Reorder the terms:
5(-37 + 5x) = 5 + -4(x + 8)
(-37 * 5 + 5x * 5) = 5 + -4(x + 8)
(-185 + 25x) = 5 + -4(x + 8)

Reorder the terms:
-185 + 25x = 5 + -4(8 + x)
-185 + 25x = 5 + (8 * -4 + x * -4)
-185 + 25x = 5 + (-32 + -4x)

Combine like terms: 5 + -32 = -27
-185 + 25x = -27 + -4x

Solving
-185 + 25x = -27 + -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.
-185 + 25x + 4x = -27 + -4x + 4x

Combine like terms: 25x + 4x = 29x
-185 + 29x = -27 + -4x + 4x

Combine like terms: -4x + 4x = 0
-185 + 29x = -27 + 0
-185 + 29x = -27

Add '185' to each side of the equation.
-185 + 185 + 29x = -27 + 185

Combine like terms: -185 + 185 = 0
0 + 29x = -27 + 185
29x = -27 + 185

Combine like terms: -27 + 185 = 158
29x = 158

Divide each side by '29'.
x = 5.448275862

Simplifying
x = 5.448275862

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