2(5x+3)=9x+7

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Solution for 2(5x+3)=9x+7 equation:


Simplifying
2(5x + 3) = 9x + 7

Reorder the terms:
2(3 + 5x) = 9x + 7
(3 * 2 + 5x * 2) = 9x + 7
(6 + 10x) = 9x + 7

Reorder the terms:
6 + 10x = 7 + 9x

Solving
6 + 10x = 7 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
6 + 10x + -9x = 7 + 9x + -9x

Combine like terms: 10x + -9x = 1x
6 + 1x = 7 + 9x + -9x

Combine like terms: 9x + -9x = 0
6 + 1x = 7 + 0
6 + 1x = 7

Add '-6' to each side of the equation.
6 + -6 + 1x = 7 + -6

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

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

Divide each side by '1'.
x = 1

Simplifying
x = 1

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