5(3x+2)=6-4(2x-3)

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Solution for 5(3x+2)=6-4(2x-3) equation:


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

Reorder the terms:
5(2 + 3x) = 6 + -4(2x + -3)
(2 * 5 + 3x * 5) = 6 + -4(2x + -3)
(10 + 15x) = 6 + -4(2x + -3)

Reorder the terms:
10 + 15x = 6 + -4(-3 + 2x)
10 + 15x = 6 + (-3 * -4 + 2x * -4)
10 + 15x = 6 + (12 + -8x)

Combine like terms: 6 + 12 = 18
10 + 15x = 18 + -8x

Solving
10 + 15x = 18 + -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 + 15x + 8x = 18 + -8x + 8x

Combine like terms: 15x + 8x = 23x
10 + 23x = 18 + -8x + 8x

Combine like terms: -8x + 8x = 0
10 + 23x = 18 + 0
10 + 23x = 18

Add '-10' to each side of the equation.
10 + -10 + 23x = 18 + -10

Combine like terms: 10 + -10 = 0
0 + 23x = 18 + -10
23x = 18 + -10

Combine like terms: 18 + -10 = 8
23x = 8

Divide each side by '23'.
x = 0.347826087

Simplifying
x = 0.347826087

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