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

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


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

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

Multiply -3 * 1
1 + -3x + -1(-3) + -2(x + -3) = 3x + -1(-4)

Multiply -1 * -3
1 + -3x + 3 + -2(x + -3) = 3x + -1(-4)

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

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

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

Combine like terms: 4 + 6 = 10
10 + -3x + -2x = 3x + -1(-4)

Combine like terms: -3x + -2x = -5x
10 + -5x = 3x + -1(-4)

Multiply -1 * -4
10 + -5x = 3x + 4

Reorder the terms:
10 + -5x = 4 + 3x

Solving
10 + -5x = 4 + 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.
10 + -5x + -3x = 4 + 3x + -3x

Combine like terms: -5x + -3x = -8x
10 + -8x = 4 + 3x + -3x

Combine like terms: 3x + -3x = 0
10 + -8x = 4 + 0
10 + -8x = 4

Add '-10' to each side of the equation.
10 + -10 + -8x = 4 + -10

Combine like terms: 10 + -10 = 0
0 + -8x = 4 + -10
-8x = 4 + -10

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

Divide each side by '-8'.
x = 0.75

Simplifying
x = 0.75

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