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

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


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

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

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

Combine like terms: -6 + -10 = -16
-16 + 3x + 6x = 7x + -4

Combine like terms: 3x + 6x = 9x
-16 + 9x = 7x + -4

Reorder the terms:
-16 + 9x = -4 + 7x

Solving
-16 + 9x = -4 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-16 + 9x + -7x = -4 + 7x + -7x

Combine like terms: 9x + -7x = 2x
-16 + 2x = -4 + 7x + -7x

Combine like terms: 7x + -7x = 0
-16 + 2x = -4 + 0
-16 + 2x = -4

Add '16' to each side of the equation.
-16 + 16 + 2x = -4 + 16

Combine like terms: -16 + 16 = 0
0 + 2x = -4 + 16
2x = -4 + 16

Combine like terms: -4 + 16 = 12
2x = 12

Divide each side by '2'.
x = 6

Simplifying
x = 6

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