2(x+3)+5=4(2x-5)+7

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Solution for 2(x+3)+5=4(2x-5)+7 equation: 


Simplifying
2(x + 3) + 5 = 4(2x + -5) + 7

Reorder the terms:
2(3 + x) + 5 = 4(2x + -5) + 7
(3 * 2 + x * 2) + 5 = 4(2x + -5) + 7
(6 + 2x) + 5 = 4(2x + -5) + 7

Reorder the terms:
6 + 5 + 2x = 4(2x + -5) + 7

Combine like terms: 6 + 5 = 11
11 + 2x = 4(2x + -5) + 7

Reorder the terms:
11 + 2x = 4(-5 + 2x) + 7
11 + 2x = (-5 * 4 + 2x * 4) + 7
11 + 2x = (-20 + 8x) + 7

Reorder the terms:
11 + 2x = -20 + 7 + 8x

Combine like terms: -20 + 7 = -13
11 + 2x = -13 + 8x

Solving
11 + 2x = -13 + 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 + 2x + -8x = -13 + 8x + -8x

Combine like terms: 2x + -8x = -6x
11 + -6x = -13 + 8x + -8x

Combine like terms: 8x + -8x = 0
11 + -6x = -13 + 0
11 + -6x = -13

Add '-11' to each side of the equation.
11 + -11 + -6x = -13 + -11

Combine like terms: 11 + -11 = 0
0 + -6x = -13 + -11
-6x = -13 + -11

Combine like terms: -13 + -11 = -24
-6x = -24

Divide each side by '-6'.
x = 4

Simplifying
x = 4

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