4(5-x)+3(-x+3)=-4(x)+38

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Solution for 4(5-x)+3(-x+3)=-4(x)+38 equation:


Simplifying
4(5 + -1x) + 3(-1x + 3) = -4(x) + 38
(5 * 4 + -1x * 4) + 3(-1x + 3) = -4(x) + 38
(20 + -4x) + 3(-1x + 3) = -4(x) + 38

Reorder the terms:
20 + -4x + 3(3 + -1x) = -4(x) + 38
20 + -4x + (3 * 3 + -1x * 3) = -4(x) + 38
20 + -4x + (9 + -3x) = -4(x) + 38

Reorder the terms:
20 + 9 + -4x + -3x = -4(x) + 38

Combine like terms: 20 + 9 = 29
29 + -4x + -3x = -4(x) + 38

Combine like terms: -4x + -3x = -7x
29 + -7x = -4(x) + 38

Reorder the terms:
29 + -7x = 38 + -4x

Solving
29 + -7x = 38 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
29 + -7x + 4x = 38 + -4x + 4x

Combine like terms: -7x + 4x = -3x
29 + -3x = 38 + -4x + 4x

Combine like terms: -4x + 4x = 0
29 + -3x = 38 + 0
29 + -3x = 38

Add '-29' to each side of the equation.
29 + -29 + -3x = 38 + -29

Combine like terms: 29 + -29 = 0
0 + -3x = 38 + -29
-3x = 38 + -29

Combine like terms: 38 + -29 = 9
-3x = 9

Divide each side by '-3'.
x = -3

Simplifying
x = -3

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