4(7x-10-5x+22)=9(4x+2)

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Solution for 4(7x-10-5x+22)=9(4x+2) equation:


Simplifying
4(7x + -10 + -5x + 22) = 9(4x + 2)

Reorder the terms:
4(-10 + 22 + 7x + -5x) = 9(4x + 2)

Combine like terms: -10 + 22 = 12
4(12 + 7x + -5x) = 9(4x + 2)

Combine like terms: 7x + -5x = 2x
4(12 + 2x) = 9(4x + 2)
(12 * 4 + 2x * 4) = 9(4x + 2)
(48 + 8x) = 9(4x + 2)

Reorder the terms:
48 + 8x = 9(2 + 4x)
48 + 8x = (2 * 9 + 4x * 9)
48 + 8x = (18 + 36x)

Solving
48 + 8x = 18 + 36x

Solving for variable 'x'.

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

Add '-36x' to each side of the equation.
48 + 8x + -36x = 18 + 36x + -36x

Combine like terms: 8x + -36x = -28x
48 + -28x = 18 + 36x + -36x

Combine like terms: 36x + -36x = 0
48 + -28x = 18 + 0
48 + -28x = 18

Add '-48' to each side of the equation.
48 + -48 + -28x = 18 + -48

Combine like terms: 48 + -48 = 0
0 + -28x = 18 + -48
-28x = 18 + -48

Combine like terms: 18 + -48 = -30
-28x = -30

Divide each side by '-28'.
x = 1.071428571

Simplifying
x = 1.071428571

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