4(2x+1)=22+3(2x-5)

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Solution for 4(2x+1)=22+3(2x-5) equation:


Simplifying
4(2x + 1) = 22 + 3(2x + -5)

Reorder the terms:
4(1 + 2x) = 22 + 3(2x + -5)
(1 * 4 + 2x * 4) = 22 + 3(2x + -5)
(4 + 8x) = 22 + 3(2x + -5)

Reorder the terms:
4 + 8x = 22 + 3(-5 + 2x)
4 + 8x = 22 + (-5 * 3 + 2x * 3)
4 + 8x = 22 + (-15 + 6x)

Combine like terms: 22 + -15 = 7
4 + 8x = 7 + 6x

Solving
4 + 8x = 7 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
4 + 8x + -6x = 7 + 6x + -6x

Combine like terms: 8x + -6x = 2x
4 + 2x = 7 + 6x + -6x

Combine like terms: 6x + -6x = 0
4 + 2x = 7 + 0
4 + 2x = 7

Add '-4' to each side of the equation.
4 + -4 + 2x = 7 + -4

Combine like terms: 4 + -4 = 0
0 + 2x = 7 + -4
2x = 7 + -4

Combine like terms: 7 + -4 = 3
2x = 3

Divide each side by '2'.
x = 1.5

Simplifying
x = 1.5

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