3(x-2)-(2-5x)=4-6(2-3)-7x

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Solution for 3(x-2)-(2-5x)=4-6(2-3)-7x equation:


Simplifying
3(x + -2) + -1(2 + -5x) = 4 + -6(2 + -3) + -7x

Reorder the terms:
3(-2 + x) + -1(2 + -5x) = 4 + -6(2 + -3) + -7x
(-2 * 3 + x * 3) + -1(2 + -5x) = 4 + -6(2 + -3) + -7x
(-6 + 3x) + -1(2 + -5x) = 4 + -6(2 + -3) + -7x
-6 + 3x + (2 * -1 + -5x * -1) = 4 + -6(2 + -3) + -7x
-6 + 3x + (-2 + 5x) = 4 + -6(2 + -3) + -7x

Reorder the terms:
-6 + -2 + 3x + 5x = 4 + -6(2 + -3) + -7x

Combine like terms: -6 + -2 = -8
-8 + 3x + 5x = 4 + -6(2 + -3) + -7x

Combine like terms: 3x + 5x = 8x
-8 + 8x = 4 + -6(2 + -3) + -7x

Combine like terms: 2 + -3 = -1
-8 + 8x = 4 + -6(-1) + -7x

Multiply -6 * -1
-8 + 8x = 4 + 6 + -7x

Combine like terms: 4 + 6 = 10
-8 + 8x = 10 + -7x

Solving
-8 + 8x = 10 + -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.
-8 + 8x + 7x = 10 + -7x + 7x

Combine like terms: 8x + 7x = 15x
-8 + 15x = 10 + -7x + 7x

Combine like terms: -7x + 7x = 0
-8 + 15x = 10 + 0
-8 + 15x = 10

Add '8' to each side of the equation.
-8 + 8 + 15x = 10 + 8

Combine like terms: -8 + 8 = 0
0 + 15x = 10 + 8
15x = 10 + 8

Combine like terms: 10 + 8 = 18
15x = 18

Divide each side by '15'.
x = 1.2

Simplifying
x = 1.2

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