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

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


Simplifying
10x + -1(2x + -3) = 3(x + 3) + -7

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

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

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

Reorder the terms:
3 + 8x = 3(3 + x) + -7
3 + 8x = (3 * 3 + x * 3) + -7
3 + 8x = (9 + 3x) + -7

Reorder the terms:
3 + 8x = 9 + -7 + 3x

Combine like terms: 9 + -7 = 2
3 + 8x = 2 + 3x

Solving
3 + 8x = 2 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
3 + 8x + -3x = 2 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
3 + 5x = 2 + 0
3 + 5x = 2

Add '-3' to each side of the equation.
3 + -3 + 5x = 2 + -3

Combine like terms: 3 + -3 = 0
0 + 5x = 2 + -3
5x = 2 + -3

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

Divide each side by '5'.
x = -0.2

Simplifying
x = -0.2

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