3(2x+4)+5(3-2x)=7-2x

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Solution for 3(2x+4)+5(3-2x)=7-2x equation:


Simplifying
3(2x + 4) + 5(3 + -2x) = 7 + -2x

Reorder the terms:
3(4 + 2x) + 5(3 + -2x) = 7 + -2x
(4 * 3 + 2x * 3) + 5(3 + -2x) = 7 + -2x
(12 + 6x) + 5(3 + -2x) = 7 + -2x
12 + 6x + (3 * 5 + -2x * 5) = 7 + -2x
12 + 6x + (15 + -10x) = 7 + -2x

Reorder the terms:
12 + 15 + 6x + -10x = 7 + -2x

Combine like terms: 12 + 15 = 27
27 + 6x + -10x = 7 + -2x

Combine like terms: 6x + -10x = -4x
27 + -4x = 7 + -2x

Solving
27 + -4x = 7 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
27 + -4x + 2x = 7 + -2x + 2x

Combine like terms: -4x + 2x = -2x
27 + -2x = 7 + -2x + 2x

Combine like terms: -2x + 2x = 0
27 + -2x = 7 + 0
27 + -2x = 7

Add '-27' to each side of the equation.
27 + -27 + -2x = 7 + -27

Combine like terms: 27 + -27 = 0
0 + -2x = 7 + -27
-2x = 7 + -27

Combine like terms: 7 + -27 = -20
-2x = -20

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

Simplifying
x = 10

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