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

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


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

Reorder the terms:
1 + -3(5 + 2x) = 4(x + -3) + -3(x + -2)
1 + (5 * -3 + 2x * -3) = 4(x + -3) + -3(x + -2)
1 + (-15 + -6x) = 4(x + -3) + -3(x + -2)

Combine like terms: 1 + -15 = -14
-14 + -6x = 4(x + -3) + -3(x + -2)

Reorder the terms:
-14 + -6x = 4(-3 + x) + -3(x + -2)
-14 + -6x = (-3 * 4 + x * 4) + -3(x + -2)
-14 + -6x = (-12 + 4x) + -3(x + -2)

Reorder the terms:
-14 + -6x = -12 + 4x + -3(-2 + x)
-14 + -6x = -12 + 4x + (-2 * -3 + x * -3)
-14 + -6x = -12 + 4x + (6 + -3x)

Reorder the terms:
-14 + -6x = -12 + 6 + 4x + -3x

Combine like terms: -12 + 6 = -6
-14 + -6x = -6 + 4x + -3x

Combine like terms: 4x + -3x = 1x
-14 + -6x = -6 + 1x

Solving
-14 + -6x = -6 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-14 + -6x + -1x = -6 + 1x + -1x

Combine like terms: -6x + -1x = -7x
-14 + -7x = -6 + 1x + -1x

Combine like terms: 1x + -1x = 0
-14 + -7x = -6 + 0
-14 + -7x = -6

Add '14' to each side of the equation.
-14 + 14 + -7x = -6 + 14

Combine like terms: -14 + 14 = 0
0 + -7x = -6 + 14
-7x = -6 + 14

Combine like terms: -6 + 14 = 8
-7x = 8

Divide each side by '-7'.
x = -1.142857143

Simplifying
x = -1.142857143

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