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

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


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

Reorder the terms:
2(5 + 3x) + 3 = 4x + 7
(5 * 2 + 3x * 2) + 3 = 4x + 7
(10 + 6x) + 3 = 4x + 7

Reorder the terms:
10 + 3 + 6x = 4x + 7

Combine like terms: 10 + 3 = 13
13 + 6x = 4x + 7

Reorder the terms:
13 + 6x = 7 + 4x

Solving
13 + 6x = 7 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
13 + 6x + -4x = 7 + 4x + -4x

Combine like terms: 6x + -4x = 2x
13 + 2x = 7 + 4x + -4x

Combine like terms: 4x + -4x = 0
13 + 2x = 7 + 0
13 + 2x = 7

Add '-13' to each side of the equation.
13 + -13 + 2x = 7 + -13

Combine like terms: 13 + -13 = 0
0 + 2x = 7 + -13
2x = 7 + -13

Combine like terms: 7 + -13 = -6
2x = -6

Divide each side by '2'.
x = -3

Simplifying
x = -3

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