2(4x+3)=7x+13

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Solution for 2(4x+3)=7x+13 equation:


Simplifying
2(4x + 3) = 7x + 13

Reorder the terms:
2(3 + 4x) = 7x + 13
(3 * 2 + 4x * 2) = 7x + 13
(6 + 8x) = 7x + 13

Reorder the terms:
6 + 8x = 13 + 7x

Solving
6 + 8x = 13 + 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.
6 + 8x + -7x = 13 + 7x + -7x

Combine like terms: 8x + -7x = 1x
6 + 1x = 13 + 7x + -7x

Combine like terms: 7x + -7x = 0
6 + 1x = 13 + 0
6 + 1x = 13

Add '-6' to each side of the equation.
6 + -6 + 1x = 13 + -6

Combine like terms: 6 + -6 = 0
0 + 1x = 13 + -6
1x = 13 + -6

Combine like terms: 13 + -6 = 7
1x = 7

Divide each side by '1'.
x = 7

Simplifying
x = 7

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