2(2x)+10=3(x)+13

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Solution for 2(2x)+10=3(x)+13 equation:


Simplifying
2(2x) + 10 = 3(x) + 13

Remove parenthesis around (2x)
2 * 2x + 10 = 3(x) + 13

Multiply 2 * 2
4x + 10 = 3(x) + 13

Reorder the terms:
10 + 4x = 3(x) + 13

Reorder the terms:
10 + 4x = 13 + 3x

Solving
10 + 4x = 13 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
10 + 4x + -3x = 13 + 3x + -3x

Combine like terms: 4x + -3x = 1x
10 + 1x = 13 + 3x + -3x

Combine like terms: 3x + -3x = 0
10 + 1x = 13 + 0
10 + 1x = 13

Add '-10' to each side of the equation.
10 + -10 + 1x = 13 + -10

Combine like terms: 10 + -10 = 0
0 + 1x = 13 + -10
1x = 13 + -10

Combine like terms: 13 + -10 = 3
1x = 3

Divide each side by '1'.
x = 3

Simplifying
x = 3

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