5(5x+3)=3(8x+(-2))+4

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Solution for 5(5x+3)=3(8x+(-2))+4 equation: 


Simplifying
5(5x + 3) = 3(8x + (-2)) + 4

Reorder the terms:
5(3 + 5x) = 3(8x + (-2)) + 4
(3 * 5 + 5x * 5) = 3(8x + (-2)) + 4
(15 + 25x) = 3(8x + (-2)) + 4
15 + 25x = 3(8x + -2) + 4

Reorder the terms:
15 + 25x = 3(-2 + 8x) + 4
15 + 25x = (-2 * 3 + 8x * 3) + 4
15 + 25x = (-6 + 24x) + 4

Reorder the terms:
15 + 25x = -6 + 4 + 24x

Combine like terms: -6 + 4 = -2
15 + 25x = -2 + 24x

Solving
15 + 25x = -2 + 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.
15 + 25x + -24x = -2 + 24x + -24x

Combine like terms: 25x + -24x = 1x
15 + 1x = -2 + 24x + -24x

Combine like terms: 24x + -24x = 0
15 + 1x = -2 + 0
15 + 1x = -2

Add '-15' to each side of the equation.
15 + -15 + 1x = -2 + -15

Combine like terms: 15 + -15 = 0
0 + 1x = -2 + -15
1x = -2 + -15

Combine like terms: -2 + -15 = -17
1x = -17

Divide each side by '1'.
x = -17

Simplifying
x = -17

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