5(2x+3)+8(3x+4)=10(x-1)

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Solution for 5(2x+3)+8(3x+4)=10(x-1) equation:


Simplifying
5(2x + 3) + 8(3x + 4) = 10(x + -1)

Reorder the terms:
5(3 + 2x) + 8(3x + 4) = 10(x + -1)
(3 * 5 + 2x * 5) + 8(3x + 4) = 10(x + -1)
(15 + 10x) + 8(3x + 4) = 10(x + -1)

Reorder the terms:
15 + 10x + 8(4 + 3x) = 10(x + -1)
15 + 10x + (4 * 8 + 3x * 8) = 10(x + -1)
15 + 10x + (32 + 24x) = 10(x + -1)

Reorder the terms:
15 + 32 + 10x + 24x = 10(x + -1)

Combine like terms: 15 + 32 = 47
47 + 10x + 24x = 10(x + -1)

Combine like terms: 10x + 24x = 34x
47 + 34x = 10(x + -1)

Reorder the terms:
47 + 34x = 10(-1 + x)
47 + 34x = (-1 * 10 + x * 10)
47 + 34x = (-10 + 10x)

Solving
47 + 34x = -10 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
47 + 34x + -10x = -10 + 10x + -10x

Combine like terms: 34x + -10x = 24x
47 + 24x = -10 + 10x + -10x

Combine like terms: 10x + -10x = 0
47 + 24x = -10 + 0
47 + 24x = -10

Add '-47' to each side of the equation.
47 + -47 + 24x = -10 + -47

Combine like terms: 47 + -47 = 0
0 + 24x = -10 + -47
24x = -10 + -47

Combine like terms: -10 + -47 = -57
24x = -57

Divide each side by '24'.
x = -2.375

Simplifying
x = -2.375

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