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

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


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

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

Reorder the terms:
-5 + 2x = 4(5 + 3x)
-5 + 2x = (5 * 4 + 3x * 4)
-5 + 2x = (20 + 12x)

Solving
-5 + 2x = 20 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-5 + 2x + -12x = 20 + 12x + -12x

Combine like terms: 2x + -12x = -10x
-5 + -10x = 20 + 12x + -12x

Combine like terms: 12x + -12x = 0
-5 + -10x = 20 + 0
-5 + -10x = 20

Add '5' to each side of the equation.
-5 + 5 + -10x = 20 + 5

Combine like terms: -5 + 5 = 0
0 + -10x = 20 + 5
-10x = 20 + 5

Combine like terms: 20 + 5 = 25
-10x = 25

Divide each side by '-10'.
x = -2.5

Simplifying
x = -2.5

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