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

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


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

Reorder the terms:
4(5 + x) + 3 = 9x + 4(x + 3)
(5 * 4 + x * 4) + 3 = 9x + 4(x + 3)
(20 + 4x) + 3 = 9x + 4(x + 3)

Reorder the terms:
20 + 3 + 4x = 9x + 4(x + 3)

Combine like terms: 20 + 3 = 23
23 + 4x = 9x + 4(x + 3)

Reorder the terms:
23 + 4x = 9x + 4(3 + x)
23 + 4x = 9x + (3 * 4 + x * 4)
23 + 4x = 9x + (12 + 4x)

Reorder the terms:
23 + 4x = 12 + 9x + 4x

Combine like terms: 9x + 4x = 13x
23 + 4x = 12 + 13x

Solving
23 + 4x = 12 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
23 + 4x + -13x = 12 + 13x + -13x

Combine like terms: 4x + -13x = -9x
23 + -9x = 12 + 13x + -13x

Combine like terms: 13x + -13x = 0
23 + -9x = 12 + 0
23 + -9x = 12

Add '-23' to each side of the equation.
23 + -23 + -9x = 12 + -23

Combine like terms: 23 + -23 = 0
0 + -9x = 12 + -23
-9x = 12 + -23

Combine like terms: 12 + -23 = -11
-9x = -11

Divide each side by '-9'.
x = 1.222222222

Simplifying
x = 1.222222222

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