10-3(x-4)=7x+3

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Solution for 10-3(x-4)=7x+3 equation:


Simplifying
10 + -3(x + -4) = 7x + 3

Reorder the terms:
10 + -3(-4 + x) = 7x + 3
10 + (-4 * -3 + x * -3) = 7x + 3
10 + (12 + -3x) = 7x + 3

Combine like terms: 10 + 12 = 22
22 + -3x = 7x + 3

Reorder the terms:
22 + -3x = 3 + 7x

Solving
22 + -3x = 3 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
22 + -3x + -7x = 3 + 7x + -7x

Combine like terms: -3x + -7x = -10x
22 + -10x = 3 + 7x + -7x

Combine like terms: 7x + -7x = 0
22 + -10x = 3 + 0
22 + -10x = 3

Add '-22' to each side of the equation.
22 + -22 + -10x = 3 + -22

Combine like terms: 22 + -22 = 0
0 + -10x = 3 + -22
-10x = 3 + -22

Combine like terms: 3 + -22 = -19
-10x = -19

Divide each side by '-10'.
x = 1.9

Simplifying
x = 1.9

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