7-2(-5x-9)=4(2x-1)+3

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Solution for 7-2(-5x-9)=4(2x-1)+3 equation:


Simplifying
7 + -2(-5x + -9) = 4(2x + -1) + 3

Reorder the terms:
7 + -2(-9 + -5x) = 4(2x + -1) + 3
7 + (-9 * -2 + -5x * -2) = 4(2x + -1) + 3
7 + (18 + 10x) = 4(2x + -1) + 3

Combine like terms: 7 + 18 = 25
25 + 10x = 4(2x + -1) + 3

Reorder the terms:
25 + 10x = 4(-1 + 2x) + 3
25 + 10x = (-1 * 4 + 2x * 4) + 3
25 + 10x = (-4 + 8x) + 3

Reorder the terms:
25 + 10x = -4 + 3 + 8x

Combine like terms: -4 + 3 = -1
25 + 10x = -1 + 8x

Solving
25 + 10x = -1 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
25 + 10x + -8x = -1 + 8x + -8x

Combine like terms: 10x + -8x = 2x
25 + 2x = -1 + 8x + -8x

Combine like terms: 8x + -8x = 0
25 + 2x = -1 + 0
25 + 2x = -1

Add '-25' to each side of the equation.
25 + -25 + 2x = -1 + -25

Combine like terms: 25 + -25 = 0
0 + 2x = -1 + -25
2x = -1 + -25

Combine like terms: -1 + -25 = -26
2x = -26

Divide each side by '2'.
x = -13

Simplifying
x = -13

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