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

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


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

Reorder the terms:
4(5 + x) + 3(x + 5) = 10
(5 * 4 + x * 4) + 3(x + 5) = 10
(20 + 4x) + 3(x + 5) = 10

Reorder the terms:
20 + 4x + 3(5 + x) = 10
20 + 4x + (5 * 3 + x * 3) = 10
20 + 4x + (15 + 3x) = 10

Reorder the terms:
20 + 15 + 4x + 3x = 10

Combine like terms: 20 + 15 = 35
35 + 4x + 3x = 10

Combine like terms: 4x + 3x = 7x
35 + 7x = 10

Solving
35 + 7x = 10

Solving for variable 'x'.

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

Add '-35' to each side of the equation.
35 + -35 + 7x = 10 + -35

Combine like terms: 35 + -35 = 0
0 + 7x = 10 + -35
7x = 10 + -35

Combine like terms: 10 + -35 = -25
7x = -25

Divide each side by '7'.
x = -3.571428571

Simplifying
x = -3.571428571

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