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

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


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

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

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

Combine like terms: 6 + 5 = 11
11 + 3x = 4(2x + -1) + 3

Reorder the terms:
11 + 3x = 4(-1 + 2x) + 3
11 + 3x = (-1 * 4 + 2x * 4) + 3
11 + 3x = (-4 + 8x) + 3

Reorder the terms:
11 + 3x = -4 + 3 + 8x

Combine like terms: -4 + 3 = -1
11 + 3x = -1 + 8x

Solving
11 + 3x = -1 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
11 + 3x + -8x = -1 + 8x + -8x

Combine like terms: 3x + -8x = -5x
11 + -5x = -1 + 8x + -8x

Combine like terms: 8x + -8x = 0
11 + -5x = -1 + 0
11 + -5x = -1

Add '-11' to each side of the equation.
11 + -11 + -5x = -1 + -11

Combine like terms: 11 + -11 = 0
0 + -5x = -1 + -11
-5x = -1 + -11

Combine like terms: -1 + -11 = -12
-5x = -12

Divide each side by '-5'.
x = 2.4

Simplifying
x = 2.4

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