3(2x+5)-8(x+1)=2x-5

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Solution for 3(2x+5)-8(x+1)=2x-5 equation:


Simplifying
3(2x + 5) + -8(x + 1) = 2x + -5

Reorder the terms:
3(5 + 2x) + -8(x + 1) = 2x + -5
(5 * 3 + 2x * 3) + -8(x + 1) = 2x + -5
(15 + 6x) + -8(x + 1) = 2x + -5

Reorder the terms:
15 + 6x + -8(1 + x) = 2x + -5
15 + 6x + (1 * -8 + x * -8) = 2x + -5
15 + 6x + (-8 + -8x) = 2x + -5

Reorder the terms:
15 + -8 + 6x + -8x = 2x + -5

Combine like terms: 15 + -8 = 7
7 + 6x + -8x = 2x + -5

Combine like terms: 6x + -8x = -2x
7 + -2x = 2x + -5

Reorder the terms:
7 + -2x = -5 + 2x

Solving
7 + -2x = -5 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
7 + -2x + -2x = -5 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
7 + -4x = -5 + 0
7 + -4x = -5

Add '-7' to each side of the equation.
7 + -7 + -4x = -5 + -7

Combine like terms: 7 + -7 = 0
0 + -4x = -5 + -7
-4x = -5 + -7

Combine like terms: -5 + -7 = -12
-4x = -12

Divide each side by '-4'.
x = 3

Simplifying
x = 3

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