2x+5+(3x-10)=4x+3(5x+20)

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Solution for 2x+5+(3x-10)=4x+3(5x+20) equation:


Simplifying
2x + 5 + (3x + -10) = 4x + 3(5x + 20)

Reorder the terms:
2x + 5 + (-10 + 3x) = 4x + 3(5x + 20)

Remove parenthesis around (-10 + 3x)
2x + 5 + -10 + 3x = 4x + 3(5x + 20)

Reorder the terms:
5 + -10 + 2x + 3x = 4x + 3(5x + 20)

Combine like terms: 5 + -10 = -5
-5 + 2x + 3x = 4x + 3(5x + 20)

Combine like terms: 2x + 3x = 5x
-5 + 5x = 4x + 3(5x + 20)

Reorder the terms:
-5 + 5x = 4x + 3(20 + 5x)
-5 + 5x = 4x + (20 * 3 + 5x * 3)
-5 + 5x = 4x + (60 + 15x)

Reorder the terms:
-5 + 5x = 60 + 4x + 15x

Combine like terms: 4x + 15x = 19x
-5 + 5x = 60 + 19x

Solving
-5 + 5x = 60 + 19x

Solving for variable 'x'.

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

Add '-19x' to each side of the equation.
-5 + 5x + -19x = 60 + 19x + -19x

Combine like terms: 5x + -19x = -14x
-5 + -14x = 60 + 19x + -19x

Combine like terms: 19x + -19x = 0
-5 + -14x = 60 + 0
-5 + -14x = 60

Add '5' to each side of the equation.
-5 + 5 + -14x = 60 + 5

Combine like terms: -5 + 5 = 0
0 + -14x = 60 + 5
-14x = 60 + 5

Combine like terms: 60 + 5 = 65
-14x = 65

Divide each side by '-14'.
x = -4.642857143

Simplifying
x = -4.642857143

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