7(5-x)=3(x+1)-10

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Solution for 7(5-x)=3(x+1)-10 equation: 


Simplifying
7(5 + -1x) = 3(x + 1) + -10
(5 * 7 + -1x * 7) = 3(x + 1) + -10
(35 + -7x) = 3(x + 1) + -10

Reorder the terms:
35 + -7x = 3(1 + x) + -10
35 + -7x = (1 * 3 + x * 3) + -10
35 + -7x = (3 + 3x) + -10

Reorder the terms:
35 + -7x = 3 + -10 + 3x

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

Solving
35 + -7x = -7 + 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.
35 + -7x + -3x = -7 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
35 + -10x = -7 + 0
35 + -10x = -7

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

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

Combine like terms: -7 + -35 = -42
-10x = -42

Divide each side by '-10'.
x = 4.2

Simplifying
x = 4.2

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