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

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Solution for 7(x+5)+3(x+3)=4x+10 equation: 


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

Reorder the terms:
7(5 + x) + 3(x + 3) = 4x + 10
(5 * 7 + x * 7) + 3(x + 3) = 4x + 10
(35 + 7x) + 3(x + 3) = 4x + 10

Reorder the terms:
35 + 7x + 3(3 + x) = 4x + 10
35 + 7x + (3 * 3 + x * 3) = 4x + 10
35 + 7x + (9 + 3x) = 4x + 10

Reorder the terms:
35 + 9 + 7x + 3x = 4x + 10

Combine like terms: 35 + 9 = 44
44 + 7x + 3x = 4x + 10

Combine like terms: 7x + 3x = 10x
44 + 10x = 4x + 10

Reorder the terms:
44 + 10x = 10 + 4x

Solving
44 + 10x = 10 + 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.
44 + 10x + -4x = 10 + 4x + -4x

Combine like terms: 10x + -4x = 6x
44 + 6x = 10 + 4x + -4x

Combine like terms: 4x + -4x = 0
44 + 6x = 10 + 0
44 + 6x = 10

Add '-44' to each side of the equation.
44 + -44 + 6x = 10 + -44

Combine like terms: 44 + -44 = 0
0 + 6x = 10 + -44
6x = 10 + -44

Combine like terms: 10 + -44 = -34
6x = -34

Divide each side by '6'.
x = -5.666666667

Simplifying
x = -5.666666667

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