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

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


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

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

Reorder the terms:
25 + -2 + 15x = 4(x + -2)

Combine like terms: 25 + -2 = 23
23 + 15x = 4(x + -2)

Reorder the terms:
23 + 15x = 4(-2 + x)
23 + 15x = (-2 * 4 + x * 4)
23 + 15x = (-8 + 4x)

Solving
23 + 15x = -8 + 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.
23 + 15x + -4x = -8 + 4x + -4x

Combine like terms: 15x + -4x = 11x
23 + 11x = -8 + 4x + -4x

Combine like terms: 4x + -4x = 0
23 + 11x = -8 + 0
23 + 11x = -8

Add '-23' to each side of the equation.
23 + -23 + 11x = -8 + -23

Combine like terms: 23 + -23 = 0
0 + 11x = -8 + -23
11x = -8 + -23

Combine like terms: -8 + -23 = -31
11x = -31

Divide each side by '11'.
x = -2.818181818

Simplifying
x = -2.818181818

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