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

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


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

Reorder the terms:
-3 + 5x = 4(2x + 5)

Reorder the terms:
-3 + 5x = 4(5 + 2x)
-3 + 5x = (5 * 4 + 2x * 4)
-3 + 5x = (20 + 8x)

Solving
-3 + 5x = 20 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-3 + 5x + -8x = 20 + 8x + -8x

Combine like terms: 5x + -8x = -3x
-3 + -3x = 20 + 8x + -8x

Combine like terms: 8x + -8x = 0
-3 + -3x = 20 + 0
-3 + -3x = 20

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

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

Combine like terms: 20 + 3 = 23
-3x = 23

Divide each side by '-3'.
x = -7.666666667

Simplifying
x = -7.666666667

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