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

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


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

Reorder the terms:
4(4 + x) = 7(x + -2)
(4 * 4 + x * 4) = 7(x + -2)
(16 + 4x) = 7(x + -2)

Reorder the terms:
16 + 4x = 7(-2 + x)
16 + 4x = (-2 * 7 + x * 7)
16 + 4x = (-14 + 7x)

Solving
16 + 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.
16 + 4x + -7x = -14 + 7x + -7x

Combine like terms: 4x + -7x = -3x
16 + -3x = -14 + 7x + -7x

Combine like terms: 7x + -7x = 0
16 + -3x = -14 + 0
16 + -3x = -14

Add '-16' to each side of the equation.
16 + -16 + -3x = -14 + -16

Combine like terms: 16 + -16 = 0
0 + -3x = -14 + -16
-3x = -14 + -16

Combine like terms: -14 + -16 = -30
-3x = -30

Divide each side by '-3'.
x = 10

Simplifying
x = 10

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