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

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


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

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

Reorder the terms:
10 + 5x + -4(3 + x) = 10
10 + 5x + (3 * -4 + x * -4) = 10
10 + 5x + (-12 + -4x) = 10

Reorder the terms:
10 + -12 + 5x + -4x = 10

Combine like terms: 10 + -12 = -2
-2 + 5x + -4x = 10

Combine like terms: 5x + -4x = 1x
-2 + 1x = 10

Solving
-2 + 1x = 10

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + 1x = 10 + 2

Combine like terms: -2 + 2 = 0
0 + 1x = 10 + 2
1x = 10 + 2

Combine like terms: 10 + 2 = 12
1x = 12

Divide each side by '1'.
x = 12

Simplifying
x = 12

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