8-3(2x+3)=2(5x-3)

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Solution for 8-3(2x+3)=2(5x-3) equation:


Simplifying
8 + -3(2x + 3) = 2(5x + -3)

Reorder the terms:
8 + -3(3 + 2x) = 2(5x + -3)
8 + (3 * -3 + 2x * -3) = 2(5x + -3)
8 + (-9 + -6x) = 2(5x + -3)

Combine like terms: 8 + -9 = -1
-1 + -6x = 2(5x + -3)

Reorder the terms:
-1 + -6x = 2(-3 + 5x)
-1 + -6x = (-3 * 2 + 5x * 2)
-1 + -6x = (-6 + 10x)

Solving
-1 + -6x = -6 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-1 + -6x + -10x = -6 + 10x + -10x

Combine like terms: -6x + -10x = -16x
-1 + -16x = -6 + 10x + -10x

Combine like terms: 10x + -10x = 0
-1 + -16x = -6 + 0
-1 + -16x = -6

Add '1' to each side of the equation.
-1 + 1 + -16x = -6 + 1

Combine like terms: -1 + 1 = 0
0 + -16x = -6 + 1
-16x = -6 + 1

Combine like terms: -6 + 1 = -5
-16x = -5

Divide each side by '-16'.
x = 0.3125

Simplifying
x = 0.3125

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