7+2(6-x)=15+3(5-x)

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Solution for 7+2(6-x)=15+3(5-x) equation:


Simplifying
7 + 2(6 + -1x) = 15 + 3(5 + -1x)
7 + (6 * 2 + -1x * 2) = 15 + 3(5 + -1x)
7 + (12 + -2x) = 15 + 3(5 + -1x)

Combine like terms: 7 + 12 = 19
19 + -2x = 15 + 3(5 + -1x)
19 + -2x = 15 + (5 * 3 + -1x * 3)
19 + -2x = 15 + (15 + -3x)

Combine like terms: 15 + 15 = 30
19 + -2x = 30 + -3x

Solving
19 + -2x = 30 + -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.
19 + -2x + 3x = 30 + -3x + 3x

Combine like terms: -2x + 3x = 1x
19 + 1x = 30 + -3x + 3x

Combine like terms: -3x + 3x = 0
19 + 1x = 30 + 0
19 + 1x = 30

Add '-19' to each side of the equation.
19 + -19 + 1x = 30 + -19

Combine like terms: 19 + -19 = 0
0 + 1x = 30 + -19
1x = 30 + -19

Combine like terms: 30 + -19 = 11
1x = 11

Divide each side by '1'.
x = 11

Simplifying
x = 11

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