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

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


Simplifying
5(2 + -3x) = 4 + -3(4x + 7)
(2 * 5 + -3x * 5) = 4 + -3(4x + 7)
(10 + -15x) = 4 + -3(4x + 7)

Reorder the terms:
10 + -15x = 4 + -3(7 + 4x)
10 + -15x = 4 + (7 * -3 + 4x * -3)
10 + -15x = 4 + (-21 + -12x)

Combine like terms: 4 + -21 = -17
10 + -15x = -17 + -12x

Solving
10 + -15x = -17 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
10 + -15x + 12x = -17 + -12x + 12x

Combine like terms: -15x + 12x = -3x
10 + -3x = -17 + -12x + 12x

Combine like terms: -12x + 12x = 0
10 + -3x = -17 + 0
10 + -3x = -17

Add '-10' to each side of the equation.
10 + -10 + -3x = -17 + -10

Combine like terms: 10 + -10 = 0
0 + -3x = -17 + -10
-3x = -17 + -10

Combine like terms: -17 + -10 = -27
-3x = -27

Divide each side by '-3'.
x = 9

Simplifying
x = 9

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