4x+7=5-9(2x-3)

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Solution for 4x+7=5-9(2x-3) equation:


Simplifying
4x + 7 = 5 + -9(2x + -3)

Reorder the terms:
7 + 4x = 5 + -9(2x + -3)

Reorder the terms:
7 + 4x = 5 + -9(-3 + 2x)
7 + 4x = 5 + (-3 * -9 + 2x * -9)
7 + 4x = 5 + (27 + -18x)

Combine like terms: 5 + 27 = 32
7 + 4x = 32 + -18x

Solving
7 + 4x = 32 + -18x

Solving for variable 'x'.

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

Add '18x' to each side of the equation.
7 + 4x + 18x = 32 + -18x + 18x

Combine like terms: 4x + 18x = 22x
7 + 22x = 32 + -18x + 18x

Combine like terms: -18x + 18x = 0
7 + 22x = 32 + 0
7 + 22x = 32

Add '-7' to each side of the equation.
7 + -7 + 22x = 32 + -7

Combine like terms: 7 + -7 = 0
0 + 22x = 32 + -7
22x = 32 + -7

Combine like terms: 32 + -7 = 25
22x = 25

Divide each side by '22'.
x = 1.136363636

Simplifying
x = 1.136363636

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