4(1+2x)=7(x-4)

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Solution for 4(1+2x)=7(x-4) equation:


Simplifying
4(1 + 2x) = 7(x + -4)
(1 * 4 + 2x * 4) = 7(x + -4)
(4 + 8x) = 7(x + -4)

Reorder the terms:
4 + 8x = 7(-4 + x)
4 + 8x = (-4 * 7 + x * 7)
4 + 8x = (-28 + 7x)

Solving
4 + 8x = -28 + 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.
4 + 8x + -7x = -28 + 7x + -7x

Combine like terms: 8x + -7x = 1x
4 + 1x = -28 + 7x + -7x

Combine like terms: 7x + -7x = 0
4 + 1x = -28 + 0
4 + 1x = -28

Add '-4' to each side of the equation.
4 + -4 + 1x = -28 + -4

Combine like terms: 4 + -4 = 0
0 + 1x = -28 + -4
1x = -28 + -4

Combine like terms: -28 + -4 = -32
1x = -32

Divide each side by '1'.
x = -32

Simplifying
x = -32

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