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

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


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

Reorder the terms:
4(3 + 2x) + 5(3x + -6) = 5
(3 * 4 + 2x * 4) + 5(3x + -6) = 5
(12 + 8x) + 5(3x + -6) = 5

Reorder the terms:
12 + 8x + 5(-6 + 3x) = 5
12 + 8x + (-6 * 5 + 3x * 5) = 5
12 + 8x + (-30 + 15x) = 5

Reorder the terms:
12 + -30 + 8x + 15x = 5

Combine like terms: 12 + -30 = -18
-18 + 8x + 15x = 5

Combine like terms: 8x + 15x = 23x
-18 + 23x = 5

Solving
-18 + 23x = 5

Solving for variable 'x'.

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

Add '18' to each side of the equation.
-18 + 18 + 23x = 5 + 18

Combine like terms: -18 + 18 = 0
0 + 23x = 5 + 18
23x = 5 + 18

Combine like terms: 5 + 18 = 23
23x = 23

Divide each side by '23'.
x = 1

Simplifying
x = 1

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