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

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


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

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

Reorder the terms:
-6 + 3x + -2(-5 + 2x) = 3x + -7
-6 + 3x + (-5 * -2 + 2x * -2) = 3x + -7
-6 + 3x + (10 + -4x) = 3x + -7

Reorder the terms:
-6 + 10 + 3x + -4x = 3x + -7

Combine like terms: -6 + 10 = 4
4 + 3x + -4x = 3x + -7

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

Reorder the terms:
4 + -1x = -7 + 3x

Solving
4 + -1x = -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.
4 + -1x + -3x = -7 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
4 + -4x = -7 + 0
4 + -4x = -7

Add '-4' to each side of the equation.
4 + -4 + -4x = -7 + -4

Combine like terms: 4 + -4 = 0
0 + -4x = -7 + -4
-4x = -7 + -4

Combine like terms: -7 + -4 = -11
-4x = -11

Divide each side by '-4'.
x = 2.75

Simplifying
x = 2.75

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