5(5x+8)=6(4x-5)+49

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Solution for 5(5x+8)=6(4x-5)+49 equation: 


Simplifying
5(5x + 8) = 6(4x + -5) + 49

Reorder the terms:
5(8 + 5x) = 6(4x + -5) + 49
(8 * 5 + 5x * 5) = 6(4x + -5) + 49
(40 + 25x) = 6(4x + -5) + 49

Reorder the terms:
40 + 25x = 6(-5 + 4x) + 49
40 + 25x = (-5 * 6 + 4x * 6) + 49
40 + 25x = (-30 + 24x) + 49

Reorder the terms:
40 + 25x = -30 + 49 + 24x

Combine like terms: -30 + 49 = 19
40 + 25x = 19 + 24x

Solving
40 + 25x = 19 + 24x

Solving for variable 'x'.

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

Add '-24x' to each side of the equation.
40 + 25x + -24x = 19 + 24x + -24x

Combine like terms: 25x + -24x = 1x
40 + 1x = 19 + 24x + -24x

Combine like terms: 24x + -24x = 0
40 + 1x = 19 + 0
40 + 1x = 19

Add '-40' to each side of the equation.
40 + -40 + 1x = 19 + -40

Combine like terms: 40 + -40 = 0
0 + 1x = 19 + -40
1x = 19 + -40

Combine like terms: 19 + -40 = -21
1x = -21

Divide each side by '1'.
x = -21

Simplifying
x = -21

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