4(x+8)=7(x+2)

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Solution for 4(x+8)=7(x+2) equation: 


Simplifying
4(x + 8) = 7(x + 2)

Reorder the terms:
4(8 + x) = 7(x + 2)
(8 * 4 + x * 4) = 7(x + 2)
(32 + 4x) = 7(x + 2)

Reorder the terms:
32 + 4x = 7(2 + x)
32 + 4x = (2 * 7 + x * 7)
32 + 4x = (14 + 7x)

Solving
32 + 4x = 14 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
32 + 4x + -7x = 14 + 7x + -7x

Combine like terms: 4x + -7x = -3x
32 + -3x = 14 + 7x + -7x

Combine like terms: 7x + -7x = 0
32 + -3x = 14 + 0
32 + -3x = 14

Add '-32' to each side of the equation.
32 + -32 + -3x = 14 + -32

Combine like terms: 32 + -32 = 0
0 + -3x = 14 + -32
-3x = 14 + -32

Combine like terms: 14 + -32 = -18
-3x = -18

Divide each side by '-3'.
x = 6

Simplifying
x = 6

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