7(2x+4)=8(1+3x)

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Solution for 7(2x+4)=8(1+3x) equation:


Simplifying
7(2x + 4) = 8(1 + 3x)

Reorder the terms:
7(4 + 2x) = 8(1 + 3x)
(4 * 7 + 2x * 7) = 8(1 + 3x)
(28 + 14x) = 8(1 + 3x)
28 + 14x = (1 * 8 + 3x * 8)
28 + 14x = (8 + 24x)

Solving
28 + 14x = 8 + 24x

Solving for variable 'x'.

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

Add '-24x' to each side of the equation.
28 + 14x + -24x = 8 + 24x + -24x

Combine like terms: 14x + -24x = -10x
28 + -10x = 8 + 24x + -24x

Combine like terms: 24x + -24x = 0
28 + -10x = 8 + 0
28 + -10x = 8

Add '-28' to each side of the equation.
28 + -28 + -10x = 8 + -28

Combine like terms: 28 + -28 = 0
0 + -10x = 8 + -28
-10x = 8 + -28

Combine like terms: 8 + -28 = -20
-10x = -20

Divide each side by '-10'.
x = 2

Simplifying
x = 2

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