2(x-3)+4(x+4)=28

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Solution for 2(x-3)+4(x+4)=28 equation:


Simplifying
2(x + -3) + 4(x + 4) = 28

Reorder the terms:
2(-3 + x) + 4(x + 4) = 28
(-3 * 2 + x * 2) + 4(x + 4) = 28
(-6 + 2x) + 4(x + 4) = 28

Reorder the terms:
-6 + 2x + 4(4 + x) = 28
-6 + 2x + (4 * 4 + x * 4) = 28
-6 + 2x + (16 + 4x) = 28

Reorder the terms:
-6 + 16 + 2x + 4x = 28

Combine like terms: -6 + 16 = 10
10 + 2x + 4x = 28

Combine like terms: 2x + 4x = 6x
10 + 6x = 28

Solving
10 + 6x = 28

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + -10 + 6x = 28 + -10

Combine like terms: 10 + -10 = 0
0 + 6x = 28 + -10
6x = 28 + -10

Combine like terms: 28 + -10 = 18
6x = 18

Divide each side by '6'.
x = 3

Simplifying
x = 3

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