525-3(2x-3)+3x=7(3x-21)+42(3x-1)-4(x+5)+13

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Solution for 525-3(2x-3)+3x=7(3x-21)+42(3x-1)-4(x+5)+13 equation: 


Simplifying
525 + -3(2x + -3) + 3x = 7(3x + -21) + 42(3x + -1) + -4(x + 5) + 13

Reorder the terms:
525 + -3(-3 + 2x) + 3x = 7(3x + -21) + 42(3x + -1) + -4(x + 5) + 13
525 + (-3 * -3 + 2x * -3) + 3x = 7(3x + -21) + 42(3x + -1) + -4(x + 5) + 13
525 + (9 + -6x) + 3x = 7(3x + -21) + 42(3x + -1) + -4(x + 5) + 13

Combine like terms: 525 + 9 = 534
534 + -6x + 3x = 7(3x + -21) + 42(3x + -1) + -4(x + 5) + 13

Combine like terms: -6x + 3x = -3x
534 + -3x = 7(3x + -21) + 42(3x + -1) + -4(x + 5) + 13

Reorder the terms:
534 + -3x = 7(-21 + 3x) + 42(3x + -1) + -4(x + 5) + 13
534 + -3x = (-21 * 7 + 3x * 7) + 42(3x + -1) + -4(x + 5) + 13
534 + -3x = (-147 + 21x) + 42(3x + -1) + -4(x + 5) + 13

Reorder the terms:
534 + -3x = -147 + 21x + 42(-1 + 3x) + -4(x + 5) + 13
534 + -3x = -147 + 21x + (-1 * 42 + 3x * 42) + -4(x + 5) + 13
534 + -3x = -147 + 21x + (-42 + 126x) + -4(x + 5) + 13

Reorder the terms:
534 + -3x = -147 + 21x + -42 + 126x + -4(5 + x) + 13
534 + -3x = -147 + 21x + -42 + 126x + (5 * -4 + x * -4) + 13
534 + -3x = -147 + 21x + -42 + 126x + (-20 + -4x) + 13

Reorder the terms:
534 + -3x = -147 + -42 + -20 + 13 + 21x + 126x + -4x

Combine like terms: -147 + -42 = -189
534 + -3x = -189 + -20 + 13 + 21x + 126x + -4x

Combine like terms: -189 + -20 = -209
534 + -3x = -209 + 13 + 21x + 126x + -4x

Combine like terms: -209 + 13 = -196
534 + -3x = -196 + 21x + 126x + -4x

Combine like terms: 21x + 126x = 147x
534 + -3x = -196 + 147x + -4x

Combine like terms: 147x + -4x = 143x
534 + -3x = -196 + 143x

Solving
534 + -3x = -196 + 143x

Solving for variable 'x'.

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

Add '-143x' to each side of the equation.
534 + -3x + -143x = -196 + 143x + -143x

Combine like terms: -3x + -143x = -146x
534 + -146x = -196 + 143x + -143x

Combine like terms: 143x + -143x = 0
534 + -146x = -196 + 0
534 + -146x = -196

Add '-534' to each side of the equation.
534 + -534 + -146x = -196 + -534

Combine like terms: 534 + -534 = 0
0 + -146x = -196 + -534
-146x = -196 + -534

Combine like terms: -196 + -534 = -730
-146x = -730

Divide each side by '-146'.
x = 5

Simplifying
x = 5

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