2(3x+1)+5=7x+3

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Solution for 2(3x+1)+5=7x+3 equation:


Simplifying
2(3x + 1) + 5 = 7x + 3

Reorder the terms:
2(1 + 3x) + 5 = 7x + 3
(1 * 2 + 3x * 2) + 5 = 7x + 3
(2 + 6x) + 5 = 7x + 3

Reorder the terms:
2 + 5 + 6x = 7x + 3

Combine like terms: 2 + 5 = 7
7 + 6x = 7x + 3

Reorder the terms:
7 + 6x = 3 + 7x

Solving
7 + 6x = 3 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
7 + 6x + -7x = 3 + 7x + -7x

Combine like terms: 6x + -7x = -1x
7 + -1x = 3 + 7x + -7x

Combine like terms: 7x + -7x = 0
7 + -1x = 3 + 0
7 + -1x = 3

Add '-7' to each side of the equation.
7 + -7 + -1x = 3 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 3 + -7
-1x = 3 + -7

Combine like terms: 3 + -7 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4

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