6(4x-5)+2(16-4x)-3(5x+4)=-7

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Solution for 6(4x-5)+2(16-4x)-3(5x+4)=-7 equation:


Simplifying
6(4x + -5) + 2(16 + -4x) + -3(5x + 4) = -7

Reorder the terms:
6(-5 + 4x) + 2(16 + -4x) + -3(5x + 4) = -7
(-5 * 6 + 4x * 6) + 2(16 + -4x) + -3(5x + 4) = -7
(-30 + 24x) + 2(16 + -4x) + -3(5x + 4) = -7
-30 + 24x + (16 * 2 + -4x * 2) + -3(5x + 4) = -7
-30 + 24x + (32 + -8x) + -3(5x + 4) = -7

Reorder the terms:
-30 + 24x + 32 + -8x + -3(4 + 5x) = -7
-30 + 24x + 32 + -8x + (4 * -3 + 5x * -3) = -7
-30 + 24x + 32 + -8x + (-12 + -15x) = -7

Reorder the terms:
-30 + 32 + -12 + 24x + -8x + -15x = -7

Combine like terms: -30 + 32 = 2
2 + -12 + 24x + -8x + -15x = -7

Combine like terms: 2 + -12 = -10
-10 + 24x + -8x + -15x = -7

Combine like terms: 24x + -8x = 16x
-10 + 16x + -15x = -7

Combine like terms: 16x + -15x = 1x
-10 + 1x = -7

Solving
-10 + 1x = -7

Solving for variable 'x'.

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

Add '10' to each side of the equation.
-10 + 10 + 1x = -7 + 10

Combine like terms: -10 + 10 = 0
0 + 1x = -7 + 10
1x = -7 + 10

Combine like terms: -7 + 10 = 3
1x = 3

Divide each side by '1'.
x = 3

Simplifying
x = 3

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