4(x-5)-3(x+2)-13=-30

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Solution for 4(x-5)-3(x+2)-13=-30 equation: 


Simplifying
4(x + -5) + -3(x + 2) + -13 = -30

Reorder the terms:
4(-5 + x) + -3(x + 2) + -13 = -30
(-5 * 4 + x * 4) + -3(x + 2) + -13 = -30
(-20 + 4x) + -3(x + 2) + -13 = -30

Reorder the terms:
-20 + 4x + -3(2 + x) + -13 = -30
-20 + 4x + (2 * -3 + x * -3) + -13 = -30
-20 + 4x + (-6 + -3x) + -13 = -30

Reorder the terms:
-20 + -6 + -13 + 4x + -3x = -30

Combine like terms: -20 + -6 = -26
-26 + -13 + 4x + -3x = -30

Combine like terms: -26 + -13 = -39
-39 + 4x + -3x = -30

Combine like terms: 4x + -3x = 1x
-39 + 1x = -30

Solving
-39 + 1x = -30

Solving for variable 'x'.

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

Add '39' to each side of the equation.
-39 + 39 + 1x = -30 + 39

Combine like terms: -39 + 39 = 0
0 + 1x = -30 + 39
1x = -30 + 39

Combine like terms: -30 + 39 = 9
1x = 9

Divide each side by '1'.
x = 9

Simplifying
x = 9

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