10(x+3)+5=3x+70

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Solution for 10(x+3)+5=3x+70 equation:


Simplifying
10(x + 3) + 5 = 3x + 70

Reorder the terms:
10(3 + x) + 5 = 3x + 70
(3 * 10 + x * 10) + 5 = 3x + 70
(30 + 10x) + 5 = 3x + 70

Reorder the terms:
30 + 5 + 10x = 3x + 70

Combine like terms: 30 + 5 = 35
35 + 10x = 3x + 70

Reorder the terms:
35 + 10x = 70 + 3x

Solving
35 + 10x = 70 + 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 + 10x + -3x = 70 + 3x + -3x

Combine like terms: 10x + -3x = 7x
35 + 7x = 70 + 3x + -3x

Combine like terms: 3x + -3x = 0
35 + 7x = 70 + 0
35 + 7x = 70

Add '-35' to each side of the equation.
35 + -35 + 7x = 70 + -35

Combine like terms: 35 + -35 = 0
0 + 7x = 70 + -35
7x = 70 + -35

Combine like terms: 70 + -35 = 35
7x = 35

Divide each side by '7'.
x = 5

Simplifying
x = 5

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