2(5x-3)+6(x+5)=2(x+5)-(x+7)

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Solution for 2(5x-3)+6(x+5)=2(x+5)-(x+7) equation:


Simplifying
2(5x + -3) + 6(x + 5) = 2(x + 5) + -1(x + 7)

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

Reorder the terms:
-6 + 10x + 6(5 + x) = 2(x + 5) + -1(x + 7)
-6 + 10x + (5 * 6 + x * 6) = 2(x + 5) + -1(x + 7)
-6 + 10x + (30 + 6x) = 2(x + 5) + -1(x + 7)

Reorder the terms:
-6 + 30 + 10x + 6x = 2(x + 5) + -1(x + 7)

Combine like terms: -6 + 30 = 24
24 + 10x + 6x = 2(x + 5) + -1(x + 7)

Combine like terms: 10x + 6x = 16x
24 + 16x = 2(x + 5) + -1(x + 7)

Reorder the terms:
24 + 16x = 2(5 + x) + -1(x + 7)
24 + 16x = (5 * 2 + x * 2) + -1(x + 7)
24 + 16x = (10 + 2x) + -1(x + 7)

Reorder the terms:
24 + 16x = 10 + 2x + -1(7 + x)
24 + 16x = 10 + 2x + (7 * -1 + x * -1)
24 + 16x = 10 + 2x + (-7 + -1x)

Reorder the terms:
24 + 16x = 10 + -7 + 2x + -1x

Combine like terms: 10 + -7 = 3
24 + 16x = 3 + 2x + -1x

Combine like terms: 2x + -1x = 1x
24 + 16x = 3 + 1x

Solving
24 + 16x = 3 + 1x

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.
24 + 16x + -1x = 3 + 1x + -1x

Combine like terms: 16x + -1x = 15x
24 + 15x = 3 + 1x + -1x

Combine like terms: 1x + -1x = 0
24 + 15x = 3 + 0
24 + 15x = 3

Add '-24' to each side of the equation.
24 + -24 + 15x = 3 + -24

Combine like terms: 24 + -24 = 0
0 + 15x = 3 + -24
15x = 3 + -24

Combine like terms: 3 + -24 = -21
15x = -21

Divide each side by '15'.
x = -1.4

Simplifying
x = -1.4

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