(4x+3)*4=(8x)*2+(4x+1)*2

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Solution for (4x+3)*4=(8x)*2+(4x+1)*2 equation:


Simplifying
(4x + 3) * 4 = (8x) * 2 + (4x + 1) * 2

Reorder the terms:
(3 + 4x) * 4 = (8x) * 2 + (4x + 1) * 2

Reorder the terms for easier multiplication:
4(3 + 4x) = (8x) * 2 + (4x + 1) * 2
(3 * 4 + 4x * 4) = (8x) * 2 + (4x + 1) * 2
(12 + 16x) = (8x) * 2 + (4x + 1) * 2

Remove parenthesis around (8x)
12 + 16x = 8x * 2 + (4x + 1) * 2

Reorder the terms for easier multiplication:
12 + 16x = 8 * 2x + (4x + 1) * 2

Multiply 8 * 2
12 + 16x = 16x + (4x + 1) * 2

Reorder the terms:
12 + 16x = 16x + (1 + 4x) * 2

Reorder the terms for easier multiplication:
12 + 16x = 16x + 2(1 + 4x)
12 + 16x = 16x + (1 * 2 + 4x * 2)
12 + 16x = 16x + (2 + 8x)

Reorder the terms:
12 + 16x = 2 + 16x + 8x

Combine like terms: 16x + 8x = 24x
12 + 16x = 2 + 24x

Solving
12 + 16x = 2 + 24x

Solving for variable 'x'.

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

Add '-24x' to each side of the equation.
12 + 16x + -24x = 2 + 24x + -24x

Combine like terms: 16x + -24x = -8x
12 + -8x = 2 + 24x + -24x

Combine like terms: 24x + -24x = 0
12 + -8x = 2 + 0
12 + -8x = 2

Add '-12' to each side of the equation.
12 + -12 + -8x = 2 + -12

Combine like terms: 12 + -12 = 0
0 + -8x = 2 + -12
-8x = 2 + -12

Combine like terms: 2 + -12 = -10
-8x = -10

Divide each side by '-8'.
x = 1.25

Simplifying
x = 1.25

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