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

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


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

Reorder the terms:
3(5 + 2x) + -4(x + -2) = 3(2x + 2) + 1
(5 * 3 + 2x * 3) + -4(x + -2) = 3(2x + 2) + 1
(15 + 6x) + -4(x + -2) = 3(2x + 2) + 1

Reorder the terms:
15 + 6x + -4(-2 + x) = 3(2x + 2) + 1
15 + 6x + (-2 * -4 + x * -4) = 3(2x + 2) + 1
15 + 6x + (8 + -4x) = 3(2x + 2) + 1

Reorder the terms:
15 + 8 + 6x + -4x = 3(2x + 2) + 1

Combine like terms: 15 + 8 = 23
23 + 6x + -4x = 3(2x + 2) + 1

Combine like terms: 6x + -4x = 2x
23 + 2x = 3(2x + 2) + 1

Reorder the terms:
23 + 2x = 3(2 + 2x) + 1
23 + 2x = (2 * 3 + 2x * 3) + 1
23 + 2x = (6 + 6x) + 1

Reorder the terms:
23 + 2x = 6 + 1 + 6x

Combine like terms: 6 + 1 = 7
23 + 2x = 7 + 6x

Solving
23 + 2x = 7 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
23 + 2x + -6x = 7 + 6x + -6x

Combine like terms: 2x + -6x = -4x
23 + -4x = 7 + 6x + -6x

Combine like terms: 6x + -6x = 0
23 + -4x = 7 + 0
23 + -4x = 7

Add '-23' to each side of the equation.
23 + -23 + -4x = 7 + -23

Combine like terms: 23 + -23 = 0
0 + -4x = 7 + -23
-4x = 7 + -23

Combine like terms: 7 + -23 = -16
-4x = -16

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

Simplifying
x = 4

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