5(x+7)-2x=3(2x+5)-1

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Solution for 5(x+7)-2x=3(2x+5)-1 equation: 


Simplifying
5(x + 7) + -2x = 3(2x + 5) + -1

Reorder the terms:
5(7 + x) + -2x = 3(2x + 5) + -1
(7 * 5 + x * 5) + -2x = 3(2x + 5) + -1
(35 + 5x) + -2x = 3(2x + 5) + -1

Combine like terms: 5x + -2x = 3x
35 + 3x = 3(2x + 5) + -1

Reorder the terms:
35 + 3x = 3(5 + 2x) + -1
35 + 3x = (5 * 3 + 2x * 3) + -1
35 + 3x = (15 + 6x) + -1

Reorder the terms:
35 + 3x = 15 + -1 + 6x

Combine like terms: 15 + -1 = 14
35 + 3x = 14 + 6x

Solving
35 + 3x = 14 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
35 + 3x + -6x = 14 + 6x + -6x

Combine like terms: 3x + -6x = -3x
35 + -3x = 14 + 6x + -6x

Combine like terms: 6x + -6x = 0
35 + -3x = 14 + 0
35 + -3x = 14

Add '-35' to each side of the equation.
35 + -35 + -3x = 14 + -35

Combine like terms: 35 + -35 = 0
0 + -3x = 14 + -35
-3x = 14 + -35

Combine like terms: 14 + -35 = -21
-3x = -21

Divide each side by '-3'.
x = 7

Simplifying
x = 7

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