4(x-1)+3(x+2)=30

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Solution for 4(x-1)+3(x+2)=30 equation: 


Simplifying
4(x + -1) + 3(x + 2) = 30

Reorder the terms:
4(-1 + x) + 3(x + 2) = 30
(-1 * 4 + x * 4) + 3(x + 2) = 30
(-4 + 4x) + 3(x + 2) = 30

Reorder the terms:
-4 + 4x + 3(2 + x) = 30
-4 + 4x + (2 * 3 + x * 3) = 30
-4 + 4x + (6 + 3x) = 30

Reorder the terms:
-4 + 6 + 4x + 3x = 30

Combine like terms: -4 + 6 = 2
2 + 4x + 3x = 30

Combine like terms: 4x + 3x = 7x
2 + 7x = 30

Solving
2 + 7x = 30

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 + 7x = 30 + -2

Combine like terms: 2 + -2 = 0
0 + 7x = 30 + -2
7x = 30 + -2

Combine like terms: 30 + -2 = 28
7x = 28

Divide each side by '7'.
x = 4

Simplifying
x = 4

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