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

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


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

Reorder the terms:
2(3 + 5x) = -4(x + 2) + -7
(3 * 2 + 5x * 2) = -4(x + 2) + -7
(6 + 10x) = -4(x + 2) + -7

Reorder the terms:
6 + 10x = -4(2 + x) + -7
6 + 10x = (2 * -4 + x * -4) + -7
6 + 10x = (-8 + -4x) + -7

Reorder the terms:
6 + 10x = -8 + -7 + -4x

Combine like terms: -8 + -7 = -15
6 + 10x = -15 + -4x

Solving
6 + 10x = -15 + -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.
6 + 10x + 4x = -15 + -4x + 4x

Combine like terms: 10x + 4x = 14x
6 + 14x = -15 + -4x + 4x

Combine like terms: -4x + 4x = 0
6 + 14x = -15 + 0
6 + 14x = -15

Add '-6' to each side of the equation.
6 + -6 + 14x = -15 + -6

Combine like terms: 6 + -6 = 0
0 + 14x = -15 + -6
14x = -15 + -6

Combine like terms: -15 + -6 = -21
14x = -21

Divide each side by '14'.
x = -1.5

Simplifying
x = -1.5

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