28(3x-4)+28(x+3)=28*8

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Solution for 28(3x-4)+28(x+3)=28*8 equation:


Simplifying
28(3x + -4) + 28(x + 3) = 28 * 8

Reorder the terms:
28(-4 + 3x) + 28(x + 3) = 28 * 8
(-4 * 28 + 3x * 28) + 28(x + 3) = 28 * 8
(-112 + 84x) + 28(x + 3) = 28 * 8

Reorder the terms:
-112 + 84x + 28(3 + x) = 28 * 8
-112 + 84x + (3 * 28 + x * 28) = 28 * 8
-112 + 84x + (84 + 28x) = 28 * 8

Reorder the terms:
-112 + 84 + 84x + 28x = 28 * 8

Combine like terms: -112 + 84 = -28
-28 + 84x + 28x = 28 * 8

Combine like terms: 84x + 28x = 112x
-28 + 112x = 28 * 8

Multiply 28 * 8
-28 + 112x = 224

Solving
-28 + 112x = 224

Solving for variable 'x'.

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

Add '28' to each side of the equation.
-28 + 28 + 112x = 224 + 28

Combine like terms: -28 + 28 = 0
0 + 112x = 224 + 28
112x = 224 + 28

Combine like terms: 224 + 28 = 252
112x = 252

Divide each side by '112'.
x = 2.25

Simplifying
x = 2.25

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