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

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


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

Reorder the terms:
4[-3(5 + x)] = 7(x + -2)
4[(5 * -3 + x * -3)] = 7(x + -2)
4[(-15 + -3x)] = 7(x + -2)
[-15 * 4 + -3x * 4] = 7(x + -2)
[-60 + -12x] = 7(x + -2)

Reorder the terms:
-60 + -12x = 7(-2 + x)
-60 + -12x = (-2 * 7 + x * 7)
-60 + -12x = (-14 + 7x)

Solving
-60 + -12x = -14 + 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.
-60 + -12x + -7x = -14 + 7x + -7x

Combine like terms: -12x + -7x = -19x
-60 + -19x = -14 + 7x + -7x

Combine like terms: 7x + -7x = 0
-60 + -19x = -14 + 0
-60 + -19x = -14

Add '60' to each side of the equation.
-60 + 60 + -19x = -14 + 60

Combine like terms: -60 + 60 = 0
0 + -19x = -14 + 60
-19x = -14 + 60

Combine like terms: -14 + 60 = 46
-19x = 46

Divide each side by '-19'.
x = -2.421052632

Simplifying
x = -2.421052632

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