3(x+5)=8x-(x-2)-7

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Solution for 3(x+5)=8x-(x-2)-7 equation:


Simplifying
3(x + 5) = 8x + -1(x + -2) + -7

Reorder the terms:
3(5 + x) = 8x + -1(x + -2) + -7
(5 * 3 + x * 3) = 8x + -1(x + -2) + -7
(15 + 3x) = 8x + -1(x + -2) + -7

Reorder the terms:
15 + 3x = 8x + -1(-2 + x) + -7
15 + 3x = 8x + (-2 * -1 + x * -1) + -7
15 + 3x = 8x + (2 + -1x) + -7

Reorder the terms:
15 + 3x = 2 + -7 + 8x + -1x

Combine like terms: 2 + -7 = -5
15 + 3x = -5 + 8x + -1x

Combine like terms: 8x + -1x = 7x
15 + 3x = -5 + 7x

Solving
15 + 3x = -5 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
15 + 3x + -7x = -5 + 7x + -7x

Combine like terms: 3x + -7x = -4x
15 + -4x = -5 + 7x + -7x

Combine like terms: 7x + -7x = 0
15 + -4x = -5 + 0
15 + -4x = -5

Add '-15' to each side of the equation.
15 + -15 + -4x = -5 + -15

Combine like terms: 15 + -15 = 0
0 + -4x = -5 + -15
-4x = -5 + -15

Combine like terms: -5 + -15 = -20
-4x = -20

Divide each side by '-4'.
x = 5

Simplifying
x = 5

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