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

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


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

Reorder the terms:
4(9 + 2x) = 3x + 4
(9 * 4 + 2x * 4) = 3x + 4
(36 + 8x) = 3x + 4

Reorder the terms:
36 + 8x = 4 + 3x

Solving
36 + 8x = 4 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
36 + 8x + -3x = 4 + 3x + -3x

Combine like terms: 8x + -3x = 5x
36 + 5x = 4 + 3x + -3x

Combine like terms: 3x + -3x = 0
36 + 5x = 4 + 0
36 + 5x = 4

Add '-36' to each side of the equation.
36 + -36 + 5x = 4 + -36

Combine like terms: 36 + -36 = 0
0 + 5x = 4 + -36
5x = 4 + -36

Combine like terms: 4 + -36 = -32
5x = -32

Divide each side by '5'.
x = -6.4

Simplifying
x = -6.4

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