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

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


Simplifying
5(3 + -2) + -1(x + -3) = 4(4 + 5) + 13

Combine like terms: 3 + -2 = 1
5(1) + -1(x + -3) = 4(4 + 5) + 13

Multiply 5 * 1
5 + -1(x + -3) = 4(4 + 5) + 13

Reorder the terms:
5 + -1(-3 + x) = 4(4 + 5) + 13
5 + (-3 * -1 + x * -1) = 4(4 + 5) + 13
5 + (3 + -1x) = 4(4 + 5) + 13

Combine like terms: 5 + 3 = 8
8 + -1x = 4(4 + 5) + 13

Combine like terms: 4 + 5 = 9
8 + -1x = 4(9) + 13

Multiply 4 * 9
8 + -1x = 36 + 13

Combine like terms: 36 + 13 = 49
8 + -1x = 49

Solving
8 + -1x = 49

Solving for variable 'x'.

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

Add '-8' to each side of the equation.
8 + -8 + -1x = 49 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 49 + -8
-1x = 49 + -8

Combine like terms: 49 + -8 = 41
-1x = 41

Divide each side by '-1'.
x = -41

Simplifying
x = -41

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