5(x-3)+4(8+3)=3(x-1)

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Solution for 5(x-3)+4(8+3)=3(x-1) equation:


Simplifying
5(x + -3) + 4(8 + 3) = 3(x + -1)

Reorder the terms:
5(-3 + x) + 4(8 + 3) = 3(x + -1)
(-3 * 5 + x * 5) + 4(8 + 3) = 3(x + -1)
(-15 + 5x) + 4(8 + 3) = 3(x + -1)

Combine like terms: 8 + 3 = 11
-15 + 5x + 4(11) = 3(x + -1)

Multiply 4 * 11
-15 + 5x + 44 = 3(x + -1)

Reorder the terms:
-15 + 44 + 5x = 3(x + -1)

Combine like terms: -15 + 44 = 29
29 + 5x = 3(x + -1)

Reorder the terms:
29 + 5x = 3(-1 + x)
29 + 5x = (-1 * 3 + x * 3)
29 + 5x = (-3 + 3x)

Solving
29 + 5x = -3 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
29 + 5x + -3x = -3 + 3x + -3x

Combine like terms: 5x + -3x = 2x
29 + 2x = -3 + 3x + -3x

Combine like terms: 3x + -3x = 0
29 + 2x = -3 + 0
29 + 2x = -3

Add '-29' to each side of the equation.
29 + -29 + 2x = -3 + -29

Combine like terms: 29 + -29 = 0
0 + 2x = -3 + -29
2x = -3 + -29

Combine like terms: -3 + -29 = -32
2x = -32

Divide each side by '2'.
x = -16

Simplifying
x = -16

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