4+1(3+4x)+3+1(3+9)=4x+8(3x+2)-(4+3x)-2

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Solution for 4+1(3+4x)+3+1(3+9)=4x+8(3x+2)-(4+3x)-2 equation:


Simplifying
4 + 1(3 + 4x) + 3 + 1(3 + 9) = 4x + 8(3x + 2) + -1(4 + 3x) + -2
4 + (3 * 1 + 4x * 1) + 3 + 1(3 + 9) = 4x + 8(3x + 2) + -1(4 + 3x) + -2
4 + (3 + 4x) + 3 + 1(3 + 9) = 4x + 8(3x + 2) + -1(4 + 3x) + -2

Combine like terms: 3 + 9 = 12
4 + 3 + 4x + 3 + 1(12) = 4x + 8(3x + 2) + -1(4 + 3x) + -2

Multiply 1 * 12
4 + 3 + 4x + 3 + 12 = 4x + 8(3x + 2) + -1(4 + 3x) + -2

Reorder the terms:
4 + 3 + 3 + 12 + 4x = 4x + 8(3x + 2) + -1(4 + 3x) + -2

Combine like terms: 4 + 3 = 7
7 + 3 + 12 + 4x = 4x + 8(3x + 2) + -1(4 + 3x) + -2

Combine like terms: 7 + 3 = 10
10 + 12 + 4x = 4x + 8(3x + 2) + -1(4 + 3x) + -2

Combine like terms: 10 + 12 = 22
22 + 4x = 4x + 8(3x + 2) + -1(4 + 3x) + -2

Reorder the terms:
22 + 4x = 4x + 8(2 + 3x) + -1(4 + 3x) + -2
22 + 4x = 4x + (2 * 8 + 3x * 8) + -1(4 + 3x) + -2
22 + 4x = 4x + (16 + 24x) + -1(4 + 3x) + -2
22 + 4x = 4x + 16 + 24x + (4 * -1 + 3x * -1) + -2
22 + 4x = 4x + 16 + 24x + (-4 + -3x) + -2

Reorder the terms:
22 + 4x = 16 + -4 + -2 + 4x + 24x + -3x

Combine like terms: 16 + -4 = 12
22 + 4x = 12 + -2 + 4x + 24x + -3x

Combine like terms: 12 + -2 = 10
22 + 4x = 10 + 4x + 24x + -3x

Combine like terms: 4x + 24x = 28x
22 + 4x = 10 + 28x + -3x

Combine like terms: 28x + -3x = 25x
22 + 4x = 10 + 25x

Solving
22 + 4x = 10 + 25x

Solving for variable 'x'.

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

Add '-25x' to each side of the equation.
22 + 4x + -25x = 10 + 25x + -25x

Combine like terms: 4x + -25x = -21x
22 + -21x = 10 + 25x + -25x

Combine like terms: 25x + -25x = 0
22 + -21x = 10 + 0
22 + -21x = 10

Add '-22' to each side of the equation.
22 + -22 + -21x = 10 + -22

Combine like terms: 22 + -22 = 0
0 + -21x = 10 + -22
-21x = 10 + -22

Combine like terms: 10 + -22 = -12
-21x = -12

Divide each side by '-21'.
x = 0.5714285714

Simplifying
x = 0.5714285714

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