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

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


Simplifying
2(5 + 3x) = 4(2x) + -10
(5 * 2 + 3x * 2) = 4(2x) + -10
(10 + 6x) = 4(2x) + -10

Remove parenthesis around (2x)
10 + 6x = 4 * 2x + -10

Multiply 4 * 2
10 + 6x = 8x + -10

Reorder the terms:
10 + 6x = -10 + 8x

Solving
10 + 6x = -10 + 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.
10 + 6x + -8x = -10 + 8x + -8x

Combine like terms: 6x + -8x = -2x
10 + -2x = -10 + 8x + -8x

Combine like terms: 8x + -8x = 0
10 + -2x = -10 + 0
10 + -2x = -10

Add '-10' to each side of the equation.
10 + -10 + -2x = -10 + -10

Combine like terms: 10 + -10 = 0
0 + -2x = -10 + -10
-2x = -10 + -10

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

Divide each side by '-2'.
x = 10

Simplifying
x = 10

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