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

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


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

Reorder the terms:
2(7 + 3x) + -5(2x + 1) = 3(-2x + 3) + -7(2x + 1) + 5
(7 * 2 + 3x * 2) + -5(2x + 1) = 3(-2x + 3) + -7(2x + 1) + 5
(14 + 6x) + -5(2x + 1) = 3(-2x + 3) + -7(2x + 1) + 5

Reorder the terms:
14 + 6x + -5(1 + 2x) = 3(-2x + 3) + -7(2x + 1) + 5
14 + 6x + (1 * -5 + 2x * -5) = 3(-2x + 3) + -7(2x + 1) + 5
14 + 6x + (-5 + -10x) = 3(-2x + 3) + -7(2x + 1) + 5

Reorder the terms:
14 + -5 + 6x + -10x = 3(-2x + 3) + -7(2x + 1) + 5

Combine like terms: 14 + -5 = 9
9 + 6x + -10x = 3(-2x + 3) + -7(2x + 1) + 5

Combine like terms: 6x + -10x = -4x
9 + -4x = 3(-2x + 3) + -7(2x + 1) + 5

Reorder the terms:
9 + -4x = 3(3 + -2x) + -7(2x + 1) + 5
9 + -4x = (3 * 3 + -2x * 3) + -7(2x + 1) + 5
9 + -4x = (9 + -6x) + -7(2x + 1) + 5

Reorder the terms:
9 + -4x = 9 + -6x + -7(1 + 2x) + 5
9 + -4x = 9 + -6x + (1 * -7 + 2x * -7) + 5
9 + -4x = 9 + -6x + (-7 + -14x) + 5

Reorder the terms:
9 + -4x = 9 + -7 + 5 + -6x + -14x

Combine like terms: 9 + -7 = 2
9 + -4x = 2 + 5 + -6x + -14x

Combine like terms: 2 + 5 = 7
9 + -4x = 7 + -6x + -14x

Combine like terms: -6x + -14x = -20x
9 + -4x = 7 + -20x

Solving
9 + -4x = 7 + -20x

Solving for variable 'x'.

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

Add '20x' to each side of the equation.
9 + -4x + 20x = 7 + -20x + 20x

Combine like terms: -4x + 20x = 16x
9 + 16x = 7 + -20x + 20x

Combine like terms: -20x + 20x = 0
9 + 16x = 7 + 0
9 + 16x = 7

Add '-9' to each side of the equation.
9 + -9 + 16x = 7 + -9

Combine like terms: 9 + -9 = 0
0 + 16x = 7 + -9
16x = 7 + -9

Combine like terms: 7 + -9 = -2
16x = -2

Divide each side by '16'.
x = -0.125

Simplifying
x = -0.125

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