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

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


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

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

Combine like terms: -5 + 6 = 1
1 + -2x = 3(x + -4) + -7

Reorder the terms:
1 + -2x = 3(-4 + x) + -7
1 + -2x = (-4 * 3 + x * 3) + -7
1 + -2x = (-12 + 3x) + -7

Reorder the terms:
1 + -2x = -12 + -7 + 3x

Combine like terms: -12 + -7 = -19
1 + -2x = -19 + 3x

Solving
1 + -2x = -19 + 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.
1 + -2x + -3x = -19 + 3x + -3x

Combine like terms: -2x + -3x = -5x
1 + -5x = -19 + 3x + -3x

Combine like terms: 3x + -3x = 0
1 + -5x = -19 + 0
1 + -5x = -19

Add '-1' to each side of the equation.
1 + -1 + -5x = -19 + -1

Combine like terms: 1 + -1 = 0
0 + -5x = -19 + -1
-5x = -19 + -1

Combine like terms: -19 + -1 = -20
-5x = -20

Divide each side by '-5'.
x = 4

Simplifying
x = 4

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