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

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


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

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

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

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

Solving
-2 + 4x = 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.
-2 + 4x + -8x = 20 + 8x + -8x

Combine like terms: 4x + -8x = -4x
-2 + -4x = 20 + 8x + -8x

Combine like terms: 8x + -8x = 0
-2 + -4x = 20 + 0
-2 + -4x = 20

Add '2' to each side of the equation.
-2 + 2 + -4x = 20 + 2

Combine like terms: -2 + 2 = 0
0 + -4x = 20 + 2
-4x = 20 + 2

Combine like terms: 20 + 2 = 22
-4x = 22

Divide each side by '-4'.
x = -5.5

Simplifying
x = -5.5

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