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

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


Simplifying
3x + -5(2x + -3) = 4(2 + -1x) + 7

Reorder the terms:
3x + -5(-3 + 2x) = 4(2 + -1x) + 7
3x + (-3 * -5 + 2x * -5) = 4(2 + -1x) + 7
3x + (15 + -10x) = 4(2 + -1x) + 7

Reorder the terms:
15 + 3x + -10x = 4(2 + -1x) + 7

Combine like terms: 3x + -10x = -7x
15 + -7x = 4(2 + -1x) + 7
15 + -7x = (2 * 4 + -1x * 4) + 7
15 + -7x = (8 + -4x) + 7

Reorder the terms:
15 + -7x = 8 + 7 + -4x

Combine like terms: 8 + 7 = 15
15 + -7x = 15 + -4x

Add '-15' to each side of the equation.
15 + -15 + -7x = 15 + -15 + -4x

Combine like terms: 15 + -15 = 0
0 + -7x = 15 + -15 + -4x
-7x = 15 + -15 + -4x

Combine like terms: 15 + -15 = 0
-7x = 0 + -4x
-7x = -4x

Solving
-7x = -4x

Solving for variable 'x'.

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

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

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

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

Divide each side by '-3'.
x = 0

Simplifying
x = 0

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