3(2x+5)-4(x-5)=x+5

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Solution for 3(2x+5)-4(x-5)=x+5 equation: 


Simplifying
3(2x + 5) + -4(x + -5) = x + 5

Reorder the terms:
3(5 + 2x) + -4(x + -5) = x + 5
(5 * 3 + 2x * 3) + -4(x + -5) = x + 5
(15 + 6x) + -4(x + -5) = x + 5

Reorder the terms:
15 + 6x + -4(-5 + x) = x + 5
15 + 6x + (-5 * -4 + x * -4) = x + 5
15 + 6x + (20 + -4x) = x + 5

Reorder the terms:
15 + 20 + 6x + -4x = x + 5

Combine like terms: 15 + 20 = 35
35 + 6x + -4x = x + 5

Combine like terms: 6x + -4x = 2x
35 + 2x = x + 5

Reorder the terms:
35 + 2x = 5 + x

Solving
35 + 2x = 5 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
35 + 2x + -1x = 5 + x + -1x

Combine like terms: 2x + -1x = 1x
35 + 1x = 5 + x + -1x

Combine like terms: x + -1x = 0
35 + 1x = 5 + 0
35 + 1x = 5

Add '-35' to each side of the equation.
35 + -35 + 1x = 5 + -35

Combine like terms: 35 + -35 = 0
0 + 1x = 5 + -35
1x = 5 + -35

Combine like terms: 5 + -35 = -30
1x = -30

Divide each side by '1'.
x = -30

Simplifying
x = -30

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