9(2x-5)=4(x+2)+3

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Solution for 9(2x-5)=4(x+2)+3 equation:


Simplifying
9(2x + -5) = 4(x + 2) + 3

Reorder the terms:
9(-5 + 2x) = 4(x + 2) + 3
(-5 * 9 + 2x * 9) = 4(x + 2) + 3
(-45 + 18x) = 4(x + 2) + 3

Reorder the terms:
-45 + 18x = 4(2 + x) + 3
-45 + 18x = (2 * 4 + x * 4) + 3
-45 + 18x = (8 + 4x) + 3

Reorder the terms:
-45 + 18x = 8 + 3 + 4x

Combine like terms: 8 + 3 = 11
-45 + 18x = 11 + 4x

Solving
-45 + 18x = 11 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-45 + 18x + -4x = 11 + 4x + -4x

Combine like terms: 18x + -4x = 14x
-45 + 14x = 11 + 4x + -4x

Combine like terms: 4x + -4x = 0
-45 + 14x = 11 + 0
-45 + 14x = 11

Add '45' to each side of the equation.
-45 + 45 + 14x = 11 + 45

Combine like terms: -45 + 45 = 0
0 + 14x = 11 + 45
14x = 11 + 45

Combine like terms: 11 + 45 = 56
14x = 56

Divide each side by '14'.
x = 4

Simplifying
x = 4

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