2x+1(x-22)=3x-4(x-8)

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Solution for 2x+1(x-22)=3x-4(x-8) equation:


Simplifying
2x + 1(x + -22) = 3x + -4(x + -8)

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

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

Combine like terms: 2x + 1x = 3x
-22 + 3x = 3x + -4(x + -8)

Reorder the terms:
-22 + 3x = 3x + -4(-8 + x)
-22 + 3x = 3x + (-8 * -4 + x * -4)
-22 + 3x = 3x + (32 + -4x)

Reorder the terms:
-22 + 3x = 32 + 3x + -4x

Combine like terms: 3x + -4x = -1x
-22 + 3x = 32 + -1x

Solving
-22 + 3x = 32 + -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.
-22 + 3x + x = 32 + -1x + x

Combine like terms: 3x + x = 4x
-22 + 4x = 32 + -1x + x

Combine like terms: -1x + x = 0
-22 + 4x = 32 + 0
-22 + 4x = 32

Add '22' to each side of the equation.
-22 + 22 + 4x = 32 + 22

Combine like terms: -22 + 22 = 0
0 + 4x = 32 + 22
4x = 32 + 22

Combine like terms: 32 + 22 = 54
4x = 54

Divide each side by '4'.
x = 13.5

Simplifying
x = 13.5

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