6(4x+9)=25-(x-3)

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Solution for 6(4x+9)=25-(x-3) equation:


Simplifying
6(4x + 9) = 25 + -1(x + -3)

Reorder the terms:
6(9 + 4x) = 25 + -1(x + -3)
(9 * 6 + 4x * 6) = 25 + -1(x + -3)
(54 + 24x) = 25 + -1(x + -3)

Reorder the terms:
54 + 24x = 25 + -1(-3 + x)
54 + 24x = 25 + (-3 * -1 + x * -1)
54 + 24x = 25 + (3 + -1x)

Combine like terms: 25 + 3 = 28
54 + 24x = 28 + -1x

Solving
54 + 24x = 28 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
54 + 24x + x = 28 + -1x + x

Combine like terms: 24x + x = 25x
54 + 25x = 28 + -1x + x

Combine like terms: -1x + x = 0
54 + 25x = 28 + 0
54 + 25x = 28

Add '-54' to each side of the equation.
54 + -54 + 25x = 28 + -54

Combine like terms: 54 + -54 = 0
0 + 25x = 28 + -54
25x = 28 + -54

Combine like terms: 28 + -54 = -26
25x = -26

Divide each side by '25'.
x = -1.04

Simplifying
x = -1.04

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