3(x-5)-2(x-4)=2-7(x-1)

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Solution for 3(x-5)-2(x-4)=2-7(x-1) equation:


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

Reorder the terms:
3(-5 + x) + -2(x + -4) = 2 + -7(x + -1)
(-5 * 3 + x * 3) + -2(x + -4) = 2 + -7(x + -1)
(-15 + 3x) + -2(x + -4) = 2 + -7(x + -1)

Reorder the terms:
-15 + 3x + -2(-4 + x) = 2 + -7(x + -1)
-15 + 3x + (-4 * -2 + x * -2) = 2 + -7(x + -1)
-15 + 3x + (8 + -2x) = 2 + -7(x + -1)

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

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

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

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

Combine like terms: 2 + 7 = 9
-7 + 1x = 9 + -7x

Solving
-7 + 1x = 9 + -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.
-7 + 1x + 7x = 9 + -7x + 7x

Combine like terms: 1x + 7x = 8x
-7 + 8x = 9 + -7x + 7x

Combine like terms: -7x + 7x = 0
-7 + 8x = 9 + 0
-7 + 8x = 9

Add '7' to each side of the equation.
-7 + 7 + 8x = 9 + 7

Combine like terms: -7 + 7 = 0
0 + 8x = 9 + 7
8x = 9 + 7

Combine like terms: 9 + 7 = 16
8x = 16

Divide each side by '8'.
x = 2

Simplifying
x = 2

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