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

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


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

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

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

Solving
-20 + 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.
-20 + 2x + -12x = 20 + 12x + -12x

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

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

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

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

Combine like terms: 20 + 20 = 40
-10x = 40

Divide each side by '-10'.
x = -4

Simplifying
x = -4

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