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

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


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

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

Reorder the terms:
-6 + 2x + -5 + -2(-4 + x) = 3x + -7
-6 + 2x + -5 + (-4 * -2 + x * -2) = 3x + -7
-6 + 2x + -5 + (8 + -2x) = 3x + -7

Reorder the terms:
-6 + -5 + 8 + 2x + -2x = 3x + -7

Combine like terms: -6 + -5 = -11
-11 + 8 + 2x + -2x = 3x + -7

Combine like terms: -11 + 8 = -3
-3 + 2x + -2x = 3x + -7

Combine like terms: 2x + -2x = 0
-3 + 0 = 3x + -7
-3 = 3x + -7

Reorder the terms:
-3 = -7 + 3x

Solving
-3 = -7 + 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.
-3 + -3x = -7 + 3x + -3x

Combine like terms: 3x + -3x = 0
-3 + -3x = -7 + 0
-3 + -3x = -7

Add '3' to each side of the equation.
-3 + 3 + -3x = -7 + 3

Combine like terms: -3 + 3 = 0
0 + -3x = -7 + 3
-3x = -7 + 3

Combine like terms: -7 + 3 = -4
-3x = -4

Divide each side by '-3'.
x = 1.333333333

Simplifying
x = 1.333333333

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