10(2x-1)=8(2x+1)14

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Solution for 10(2x-1)=8(2x+1)14 equation:


Simplifying
10(2x + -1) = 8(2x + 1) * 14

Reorder the terms:
10(-1 + 2x) = 8(2x + 1) * 14
(-1 * 10 + 2x * 10) = 8(2x + 1) * 14
(-10 + 20x) = 8(2x + 1) * 14

Reorder the terms:
-10 + 20x = 8(1 + 2x) * 14

Reorder the terms for easier multiplication:
-10 + 20x = 8 * 14(1 + 2x)

Multiply 8 * 14
-10 + 20x = 112(1 + 2x)
-10 + 20x = (1 * 112 + 2x * 112)
-10 + 20x = (112 + 224x)

Solving
-10 + 20x = 112 + 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.
-10 + 20x + -224x = 112 + 224x + -224x

Combine like terms: 20x + -224x = -204x
-10 + -204x = 112 + 224x + -224x

Combine like terms: 224x + -224x = 0
-10 + -204x = 112 + 0
-10 + -204x = 112

Add '10' to each side of the equation.
-10 + 10 + -204x = 112 + 10

Combine like terms: -10 + 10 = 0
0 + -204x = 112 + 10
-204x = 112 + 10

Combine like terms: 112 + 10 = 122
-204x = 122

Divide each side by '-204'.
x = -0.5980392157

Simplifying
x = -0.5980392157

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