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

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


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

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

Reorder the terms:
15 + -3x = 4(2 + x)
15 + -3x = (2 * 4 + x * 4)
15 + -3x = (8 + 4x)

Solving
15 + -3x = 8 + 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.
15 + -3x + -4x = 8 + 4x + -4x

Combine like terms: -3x + -4x = -7x
15 + -7x = 8 + 4x + -4x

Combine like terms: 4x + -4x = 0
15 + -7x = 8 + 0
15 + -7x = 8

Add '-15' to each side of the equation.
15 + -15 + -7x = 8 + -15

Combine like terms: 15 + -15 = 0
0 + -7x = 8 + -15
-7x = 8 + -15

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

Divide each side by '-7'.
x = 1

Simplifying
x = 1

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