-(x-2)=4x+3(x-3)

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Solution for -(x-2)=4x+3(x-3) equation:


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

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

Reorder the terms:
2 + -1x = 4x + 3(-3 + x)
2 + -1x = 4x + (-3 * 3 + x * 3)
2 + -1x = 4x + (-9 + 3x)

Reorder the terms:
2 + -1x = -9 + 4x + 3x

Combine like terms: 4x + 3x = 7x
2 + -1x = -9 + 7x

Solving
2 + -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.
2 + -1x + -7x = -9 + 7x + -7x

Combine like terms: -1x + -7x = -8x
2 + -8x = -9 + 7x + -7x

Combine like terms: 7x + -7x = 0
2 + -8x = -9 + 0
2 + -8x = -9

Add '-2' to each side of the equation.
2 + -2 + -8x = -9 + -2

Combine like terms: 2 + -2 = 0
0 + -8x = -9 + -2
-8x = -9 + -2

Combine like terms: -9 + -2 = -11
-8x = -11

Divide each side by '-8'.
x = 1.375

Simplifying
x = 1.375

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