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

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


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

Reorder the terms:
4(2 + x) = 3(2x + 7)
(2 * 4 + x * 4) = 3(2x + 7)
(8 + 4x) = 3(2x + 7)

Reorder the terms:
8 + 4x = 3(7 + 2x)
8 + 4x = (7 * 3 + 2x * 3)
8 + 4x = (21 + 6x)

Solving
8 + 4x = 21 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
8 + 4x + -6x = 21 + 6x + -6x

Combine like terms: 4x + -6x = -2x
8 + -2x = 21 + 6x + -6x

Combine like terms: 6x + -6x = 0
8 + -2x = 21 + 0
8 + -2x = 21

Add '-8' to each side of the equation.
8 + -8 + -2x = 21 + -8

Combine like terms: 8 + -8 = 0
0 + -2x = 21 + -8
-2x = 21 + -8

Combine like terms: 21 + -8 = 13
-2x = 13

Divide each side by '-2'.
x = -6.5

Simplifying
x = -6.5

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