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

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Solution for 6(x-2)+3=5(2x+3) equation:


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

Reorder the terms:
6(-2 + x) + 3 = 5(2x + 3)
(-2 * 6 + x * 6) + 3 = 5(2x + 3)
(-12 + 6x) + 3 = 5(2x + 3)

Reorder the terms:
-12 + 3 + 6x = 5(2x + 3)

Combine like terms: -12 + 3 = -9
-9 + 6x = 5(2x + 3)

Reorder the terms:
-9 + 6x = 5(3 + 2x)
-9 + 6x = (3 * 5 + 2x * 5)
-9 + 6x = (15 + 10x)

Solving
-9 + 6x = 15 + 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.
-9 + 6x + -10x = 15 + 10x + -10x

Combine like terms: 6x + -10x = -4x
-9 + -4x = 15 + 10x + -10x

Combine like terms: 10x + -10x = 0
-9 + -4x = 15 + 0
-9 + -4x = 15

Add '9' to each side of the equation.
-9 + 9 + -4x = 15 + 9

Combine like terms: -9 + 9 = 0
0 + -4x = 15 + 9
-4x = 15 + 9

Combine like terms: 15 + 9 = 24
-4x = 24

Divide each side by '-4'.
x = -6

Simplifying
x = -6

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