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

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


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

Reorder the terms:
5(3 + x) + 2(x + -7) = 3x + -1
(3 * 5 + x * 5) + 2(x + -7) = 3x + -1
(15 + 5x) + 2(x + -7) = 3x + -1

Reorder the terms:
15 + 5x + 2(-7 + x) = 3x + -1
15 + 5x + (-7 * 2 + x * 2) = 3x + -1
15 + 5x + (-14 + 2x) = 3x + -1

Reorder the terms:
15 + -14 + 5x + 2x = 3x + -1

Combine like terms: 15 + -14 = 1
1 + 5x + 2x = 3x + -1

Combine like terms: 5x + 2x = 7x
1 + 7x = 3x + -1

Reorder the terms:
1 + 7x = -1 + 3x

Solving
1 + 7x = -1 + 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.
1 + 7x + -3x = -1 + 3x + -3x

Combine like terms: 7x + -3x = 4x
1 + 4x = -1 + 3x + -3x

Combine like terms: 3x + -3x = 0
1 + 4x = -1 + 0
1 + 4x = -1

Add '-1' to each side of the equation.
1 + -1 + 4x = -1 + -1

Combine like terms: 1 + -1 = 0
0 + 4x = -1 + -1
4x = -1 + -1

Combine like terms: -1 + -1 = -2
4x = -2

Divide each side by '4'.
x = -0.5

Simplifying
x = -0.5

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