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

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


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

Reorder the terms:
3(-4 + 5x) + 2(7 + -5x) + -2(2x + 5) = -1
(-4 * 3 + 5x * 3) + 2(7 + -5x) + -2(2x + 5) = -1
(-12 + 15x) + 2(7 + -5x) + -2(2x + 5) = -1
-12 + 15x + (7 * 2 + -5x * 2) + -2(2x + 5) = -1
-12 + 15x + (14 + -10x) + -2(2x + 5) = -1

Reorder the terms:
-12 + 15x + 14 + -10x + -2(5 + 2x) = -1
-12 + 15x + 14 + -10x + (5 * -2 + 2x * -2) = -1
-12 + 15x + 14 + -10x + (-10 + -4x) = -1

Reorder the terms:
-12 + 14 + -10 + 15x + -10x + -4x = -1

Combine like terms: -12 + 14 = 2
2 + -10 + 15x + -10x + -4x = -1

Combine like terms: 2 + -10 = -8
-8 + 15x + -10x + -4x = -1

Combine like terms: 15x + -10x = 5x
-8 + 5x + -4x = -1

Combine like terms: 5x + -4x = 1x
-8 + 1x = -1

Solving
-8 + 1x = -1

Solving for variable 'x'.

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

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

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

Combine like terms: -1 + 8 = 7
1x = 7

Divide each side by '1'.
x = 7

Simplifying
x = 7

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