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

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


Simplifying
4(2 + -3x) = 7 + -3(2 + 5x)
(2 * 4 + -3x * 4) = 7 + -3(2 + 5x)
(8 + -12x) = 7 + -3(2 + 5x)
8 + -12x = 7 + (2 * -3 + 5x * -3)
8 + -12x = 7 + (-6 + -15x)

Combine like terms: 7 + -6 = 1
8 + -12x = 1 + -15x

Solving
8 + -12x = 1 + -15x

Solving for variable 'x'.

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

Add '15x' to each side of the equation.
8 + -12x + 15x = 1 + -15x + 15x

Combine like terms: -12x + 15x = 3x
8 + 3x = 1 + -15x + 15x

Combine like terms: -15x + 15x = 0
8 + 3x = 1 + 0
8 + 3x = 1

Add '-8' to each side of the equation.
8 + -8 + 3x = 1 + -8

Combine like terms: 8 + -8 = 0
0 + 3x = 1 + -8
3x = 1 + -8

Combine like terms: 1 + -8 = -7
3x = -7

Divide each side by '3'.
x = -2.333333333

Simplifying
x = -2.333333333

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