5(x+3)-4(x+2)=10

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Solution for 5(x+3)-4(x+2)=10 equation: 


Simplifying
5(x + 3) + -4(x + 2) = 10

Reorder the terms:
5(3 + x) + -4(x + 2) = 10
(3 * 5 + x * 5) + -4(x + 2) = 10
(15 + 5x) + -4(x + 2) = 10

Reorder the terms:
15 + 5x + -4(2 + x) = 10
15 + 5x + (2 * -4 + x * -4) = 10
15 + 5x + (-8 + -4x) = 10

Reorder the terms:
15 + -8 + 5x + -4x = 10

Combine like terms: 15 + -8 = 7
7 + 5x + -4x = 10

Combine like terms: 5x + -4x = 1x
7 + 1x = 10

Solving
7 + 1x = 10

Solving for variable 'x'.

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

Add '-7' to each side of the equation.
7 + -7 + 1x = 10 + -7

Combine like terms: 7 + -7 = 0
0 + 1x = 10 + -7
1x = 10 + -7

Combine like terms: 10 + -7 = 3
1x = 3

Divide each side by '1'.
x = 3

Simplifying
x = 3

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