8x-7-2x+5=3(x+2)-10x+5

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Solution for 8x-7-2x+5=3(x+2)-10x+5 equation:


Simplifying
8x + -7 + -2x + 5 = 3(x + 2) + -10x + 5

Reorder the terms:
-7 + 5 + 8x + -2x = 3(x + 2) + -10x + 5

Combine like terms: -7 + 5 = -2
-2 + 8x + -2x = 3(x + 2) + -10x + 5

Combine like terms: 8x + -2x = 6x
-2 + 6x = 3(x + 2) + -10x + 5

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

Reorder the terms:
-2 + 6x = 6 + 5 + 3x + -10x

Combine like terms: 6 + 5 = 11
-2 + 6x = 11 + 3x + -10x

Combine like terms: 3x + -10x = -7x
-2 + 6x = 11 + -7x

Solving
-2 + 6x = 11 + -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.
-2 + 6x + 7x = 11 + -7x + 7x

Combine like terms: 6x + 7x = 13x
-2 + 13x = 11 + -7x + 7x

Combine like terms: -7x + 7x = 0
-2 + 13x = 11 + 0
-2 + 13x = 11

Add '2' to each side of the equation.
-2 + 2 + 13x = 11 + 2

Combine like terms: -2 + 2 = 0
0 + 13x = 11 + 2
13x = 11 + 2

Combine like terms: 11 + 2 = 13
13x = 13

Divide each side by '13'.
x = 1

Simplifying
x = 1

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