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

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


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

Reorder the terms:
4(5 + x) = 7 + -3(x + -2)
(5 * 4 + x * 4) = 7 + -3(x + -2)
(20 + 4x) = 7 + -3(x + -2)

Reorder the terms:
20 + 4x = 7 + -3(-2 + x)
20 + 4x = 7 + (-2 * -3 + x * -3)
20 + 4x = 7 + (6 + -3x)

Combine like terms: 7 + 6 = 13
20 + 4x = 13 + -3x

Solving
20 + 4x = 13 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
20 + 4x + 3x = 13 + -3x + 3x

Combine like terms: 4x + 3x = 7x
20 + 7x = 13 + -3x + 3x

Combine like terms: -3x + 3x = 0
20 + 7x = 13 + 0
20 + 7x = 13

Add '-20' to each side of the equation.
20 + -20 + 7x = 13 + -20

Combine like terms: 20 + -20 = 0
0 + 7x = 13 + -20
7x = 13 + -20

Combine like terms: 13 + -20 = -7
7x = -7

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

Simplifying
x = -1

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