4(8-x)=19+3(x+9)

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Solution for 4(8-x)=19+3(x+9) equation:


Simplifying
4(8 + -1x) = 19 + 3(x + 9)
(8 * 4 + -1x * 4) = 19 + 3(x + 9)
(32 + -4x) = 19 + 3(x + 9)

Reorder the terms:
32 + -4x = 19 + 3(9 + x)
32 + -4x = 19 + (9 * 3 + x * 3)
32 + -4x = 19 + (27 + 3x)

Combine like terms: 19 + 27 = 46
32 + -4x = 46 + 3x

Solving
32 + -4x = 46 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
32 + -4x + -3x = 46 + 3x + -3x

Combine like terms: -4x + -3x = -7x
32 + -7x = 46 + 3x + -3x

Combine like terms: 3x + -3x = 0
32 + -7x = 46 + 0
32 + -7x = 46

Add '-32' to each side of the equation.
32 + -32 + -7x = 46 + -32

Combine like terms: 32 + -32 = 0
0 + -7x = 46 + -32
-7x = 46 + -32

Combine like terms: 46 + -32 = 14
-7x = 14

Divide each side by '-7'.
x = -2

Simplifying
x = -2

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