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

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


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

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

Reorder the terms:
10 + -2x = 3(3 + 2x)
10 + -2x = (3 * 3 + 2x * 3)
10 + -2x = (9 + 6x)

Solving
10 + -2x = 9 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
10 + -2x + -6x = 9 + 6x + -6x

Combine like terms: -2x + -6x = -8x
10 + -8x = 9 + 6x + -6x

Combine like terms: 6x + -6x = 0
10 + -8x = 9 + 0
10 + -8x = 9

Add '-10' to each side of the equation.
10 + -10 + -8x = 9 + -10

Combine like terms: 10 + -10 = 0
0 + -8x = 9 + -10
-8x = 9 + -10

Combine like terms: 9 + -10 = -1
-8x = -1

Divide each side by '-8'.
x = 0.125

Simplifying
x = 0.125

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