22-(7-3x)=4+3(4x-1)

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Solution for 22-(7-3x)=4+3(4x-1) equation: 


Simplifying
22 + -1(7 + -3x) = 4 + 3(4x + -1)
22 + (7 * -1 + -3x * -1) = 4 + 3(4x + -1)
22 + (-7 + 3x) = 4 + 3(4x + -1)

Combine like terms: 22 + -7 = 15
15 + 3x = 4 + 3(4x + -1)

Reorder the terms:
15 + 3x = 4 + 3(-1 + 4x)
15 + 3x = 4 + (-1 * 3 + 4x * 3)
15 + 3x = 4 + (-3 + 12x)

Combine like terms: 4 + -3 = 1
15 + 3x = 1 + 12x

Solving
15 + 3x = 1 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
15 + 3x + -12x = 1 + 12x + -12x

Combine like terms: 3x + -12x = -9x
15 + -9x = 1 + 12x + -12x

Combine like terms: 12x + -12x = 0
15 + -9x = 1 + 0
15 + -9x = 1

Add '-15' to each side of the equation.
15 + -15 + -9x = 1 + -15

Combine like terms: 15 + -15 = 0
0 + -9x = 1 + -15
-9x = 1 + -15

Combine like terms: 1 + -15 = -14
-9x = -14

Divide each side by '-9'.
x = 1.555555556

Simplifying
x = 1.555555556

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