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

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


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

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

Reorder the terms:
6 + 2x + 3(-5 + 2x) = x + 4
6 + 2x + (-5 * 3 + 2x * 3) = x + 4
6 + 2x + (-15 + 6x) = x + 4

Reorder the terms:
6 + -15 + 2x + 6x = x + 4

Combine like terms: 6 + -15 = -9
-9 + 2x + 6x = x + 4

Combine like terms: 2x + 6x = 8x
-9 + 8x = x + 4

Reorder the terms:
-9 + 8x = 4 + x

Solving
-9 + 8x = 4 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-9 + 8x + -1x = 4 + x + -1x

Combine like terms: 8x + -1x = 7x
-9 + 7x = 4 + x + -1x

Combine like terms: x + -1x = 0
-9 + 7x = 4 + 0
-9 + 7x = 4

Add '9' to each side of the equation.
-9 + 9 + 7x = 4 + 9

Combine like terms: -9 + 9 = 0
0 + 7x = 4 + 9
7x = 4 + 9

Combine like terms: 4 + 9 = 13
7x = 13

Divide each side by '7'.
x = 1.857142857

Simplifying
x = 1.857142857

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