4(x+13)+5(3x+3)=10

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Solution for 4(x+13)+5(3x+3)=10 equation: 


Simplifying
4(x + 13) + 5(3x + 3) = 10

Reorder the terms:
4(13 + x) + 5(3x + 3) = 10
(13 * 4 + x * 4) + 5(3x + 3) = 10
(52 + 4x) + 5(3x + 3) = 10

Reorder the terms:
52 + 4x + 5(3 + 3x) = 10
52 + 4x + (3 * 5 + 3x * 5) = 10
52 + 4x + (15 + 15x) = 10

Reorder the terms:
52 + 15 + 4x + 15x = 10

Combine like terms: 52 + 15 = 67
67 + 4x + 15x = 10

Combine like terms: 4x + 15x = 19x
67 + 19x = 10

Solving
67 + 19x = 10

Solving for variable 'x'.

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

Add '-67' to each side of the equation.
67 + -67 + 19x = 10 + -67

Combine like terms: 67 + -67 = 0
0 + 19x = 10 + -67
19x = 10 + -67

Combine like terms: 10 + -67 = -57
19x = -57

Divide each side by '19'.
x = -3

Simplifying
x = -3

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