2(3x+1)+3(x-4)=4x+5

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Solution for 2(3x+1)+3(x-4)=4x+5 equation:


Simplifying
2(3x + 1) + 3(x + -4) = 4x + 5

Reorder the terms:
2(1 + 3x) + 3(x + -4) = 4x + 5
(1 * 2 + 3x * 2) + 3(x + -4) = 4x + 5
(2 + 6x) + 3(x + -4) = 4x + 5

Reorder the terms:
2 + 6x + 3(-4 + x) = 4x + 5
2 + 6x + (-4 * 3 + x * 3) = 4x + 5
2 + 6x + (-12 + 3x) = 4x + 5

Reorder the terms:
2 + -12 + 6x + 3x = 4x + 5

Combine like terms: 2 + -12 = -10
-10 + 6x + 3x = 4x + 5

Combine like terms: 6x + 3x = 9x
-10 + 9x = 4x + 5

Reorder the terms:
-10 + 9x = 5 + 4x

Solving
-10 + 9x = 5 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-10 + 9x + -4x = 5 + 4x + -4x

Combine like terms: 9x + -4x = 5x
-10 + 5x = 5 + 4x + -4x

Combine like terms: 4x + -4x = 0
-10 + 5x = 5 + 0
-10 + 5x = 5

Add '10' to each side of the equation.
-10 + 10 + 5x = 5 + 10

Combine like terms: -10 + 10 = 0
0 + 5x = 5 + 10
5x = 5 + 10

Combine like terms: 5 + 10 = 15
5x = 15

Divide each side by '5'.
x = 3

Simplifying
x = 3

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