8(x+5)=4(2x+3)28

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Solution for 8(x+5)=4(2x+3)28 equation:


Simplifying
8(x + 5) = 4(2x + 3) * 28

Reorder the terms:
8(5 + x) = 4(2x + 3) * 28
(5 * 8 + x * 8) = 4(2x + 3) * 28
(40 + 8x) = 4(2x + 3) * 28

Reorder the terms:
40 + 8x = 4(3 + 2x) * 28

Reorder the terms for easier multiplication:
40 + 8x = 4 * 28(3 + 2x)

Multiply 4 * 28
40 + 8x = 112(3 + 2x)
40 + 8x = (3 * 112 + 2x * 112)
40 + 8x = (336 + 224x)

Solving
40 + 8x = 336 + 224x

Solving for variable 'x'.

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

Add '-224x' to each side of the equation.
40 + 8x + -224x = 336 + 224x + -224x

Combine like terms: 8x + -224x = -216x
40 + -216x = 336 + 224x + -224x

Combine like terms: 224x + -224x = 0
40 + -216x = 336 + 0
40 + -216x = 336

Add '-40' to each side of the equation.
40 + -40 + -216x = 336 + -40

Combine like terms: 40 + -40 = 0
0 + -216x = 336 + -40
-216x = 336 + -40

Combine like terms: 336 + -40 = 296
-216x = 296

Divide each side by '-216'.
x = -1.37037037

Simplifying
x = -1.37037037

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