3[x+2]+4[x-5]=10

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Solution for 3[x+2]+4[x-5]=10 equation:


Simplifying
3[x + 2] + 4[x + -5] = 10

Reorder the terms:
3[2 + x] + 4[x + -5] = 10
[2 * 3 + x * 3] + 4[x + -5] = 10
[6 + 3x] + 4[x + -5] = 10

Reorder the terms:
6 + 3x + 4[-5 + x] = 10
6 + 3x + [-5 * 4 + x * 4] = 10
6 + 3x + [-20 + 4x] = 10

Reorder the terms:
6 + -20 + 3x + 4x = 10

Combine like terms: 6 + -20 = -14
-14 + 3x + 4x = 10

Combine like terms: 3x + 4x = 7x
-14 + 7x = 10

Solving
-14 + 7x = 10

Solving for variable 'x'.

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

Add '14' to each side of the equation.
-14 + 14 + 7x = 10 + 14

Combine like terms: -14 + 14 = 0
0 + 7x = 10 + 14
7x = 10 + 14

Combine like terms: 10 + 14 = 24
7x = 24

Divide each side by '7'.
x = 3.428571429

Simplifying
x = 3.428571429

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